Solution Answer (C): Angle EAB is 90 because it subtends a diameter. Therefore angles BEA and ABE are 40 and 50 , respectively. Angle DEB is 50 because AB is parallel to ED. Also, ∠ DEB is supplementary to ∠ CDE, so ∠ CDE = 130 . Because EB and DC are parallel chords, ED = BC and EBCD is an isosceles trapezoid. Thus ∠ BCD = ∠ CDEQuestion 895009: Angle ACB equals 55 degrees. What is the measure of angle BCD? Answer by harpazo(655) (Show Source): You can put this solution on YOUR website! More information is needed. I need to read everything.Angle DAB measures (4x-2) degrees and angle BCD measures 47 degrees.Answer to: ABCD is a parallelogram. Angle DAB measures (4X - 2)^\circ and angle BCD 47^\circ. Find X. By signing up, you'll get thousands of...The equation for the BCD for any symmetric bolt pattern is given by: BCD = d / sin (180/n) where d is the center to center distance between adjacent bolts, n is the number of bolts, and the angle is in degrees.
SOLUTION: Angle ACB equals 55 degrees. What is the measure
The asnwer is ∠C=77°, ∠BCD = 283° Step-by-step explanation: According to the info or the problem angles B and C are adjacent angles of a paralellogram, so those angles are supplementary each other. We can calculate the angle C applying the supplementary angles theory: ⇒ ∠C = 180° - ∠B = 180° - 103° = 77°. So angle ∠C = 77°.Use the diagram to find the measure of exterior angle BCD. Triangle A B C has angles labeled as follows: A, (101x + 2) degrees; B, 34x degrees; C, unlabeled. Point C lies on Ray A D. The outside angle B C D is labeled (138x - 1) degrees. left parenthesis 138 x minus 1 right parenthesis degrees(138x − 1)°Click here 👆 to get an answer to your question ️ If the measure of angle BCD=51 degrees, solve for x. kadupulmoon kadupulmoon 01/09/2020 Mathematics Middle School If the measure of angle BCD=51 degrees, solve for x. 1 See answer kadupulmoon is waiting for your help. Add your answer and earn points.ÐQ is a right angle. c. Find the degree measure for each angle. In 2b, x= 48. To find the degree measures substitute 48 for x.}mÐQ= 90°}mÐU= mÐD= 2(48) = 96°}mÐA= ((48) + 30) = 78°}To check: the four angles should have a sum of 360 °. Set up an equation and solve for x. 3. A quadrilateral has angles that measure 54°, 117°and 61°.
What is X here in this problem? | Yahoo Answers
We know that the sum of all interior angles of a pentagon = 540°, Therefore, the fifth angle of the pentagon = 165°. 37° * B. Answers. Degree: The basic unit of measure for angles is the degree. Angle BCD is a circumscribed angle of circle A. If n is the number of sides, then the measure of each exterior angle of a polygon is 360°/n. 11.Working Out the Formula for Bolt Circle Diameter. To work out the formula for BCD we first need to understand what sine and cosine mean. A right-angled triangle has one angle that measures 90 degrees. The longest side opposite this angle is called the hypotenuse. Sine and cosine are trigonometric functions of an angle and are the ratios of the27 The figure has angle measures as shown. What is the measure of ∠BCD? A 120 B 80 C 60 D 30 28 A floor tile is designed with a regular pentagon in the center of the tile with its sides extended. What is the value of x? F 72 G 90 H 110 J 120 y x D C A B 5x + 10Start studying 6.1-6.3 Quizlet #2. Learn vocabulary, terms, and more with flashcards, games, and other study tools.Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°. What is the measure of minor arc BD? 100 Angle X is a circumscribed angle of circle V.
Eugene is a qualified keep watch over/instrumentation engineer Bsc (Eng) and has worked as a developer of electronics & instrument for SCADA techniques.
Bolt circle diameter (BCD)© Eugene BrennanWhat's a Bolt Circle Diameter (BCD) or Pitch Circle Diameter (PCD)?
As you may be aware mindful in the event you've discovered this information, a bolt circle is an imaginary circle that passes through the centre of the bolt or screw holes in a round pattern. This is normally a wheel hub on a vehicle, chainring on a bicycle or flange on a pipe. The diameter of this circle is known as the bolt circle diameter (BCD) or pitch circle diameter (PCD). Typically BCD is quoted for bash guards masking the chainrings on motorcycles and you'll calculate it by means of measuring the distance between the fixing holes of the chainring. If you need to order a part for a bicycle, or take a look at the BCD of a flange and can simplest measure the bolt hollow spacing, you want to understand the formula for operating it out.
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Imaginary bolt circle© Eugene BrennanWorking Out the Formula for Bolt Circle Diameter
To work out the system for BCD we first need to perceive what sine and cosine mean.
A right-angled triangle has one angle that measures 90 degrees. The longest facet opposite this angle is known as the hypotenuse. Sine and cosine are trigonometric functions of an angle and are the ratios of the lengths of the different two facets to the hypotenuse of a right-angled triangle.
Let's constitute one of the angles by way of the Greek letter θ (theta).
Side a is known as the "opposite" side and facet b is called the "adjacent" side to the angle θ.
"|" round the words under method "length of"
Then:
sine θ = |reverse side| / |hypotenuse|cosine θ = |adjoining facet| / |hypotenuse|Sine and cosine are every now and then abbreviated to sin and cos
Sine and cosine© Eugene BrennanAngle Subtended by the Arc
Since there are 360 degrees in a full circle, then if there are N equally spaced holes, the angle subtended via an arc (produced by means of becoming a member of the ends of the arc to the centre) on an imaginary circle passing via the bolt holes is:
θ = 360 / N
Angle subtended by arc© Eugene BrennanUse Sine and Cosine to Work Out the Radius
We can draw triangles and use sine and cosine to solve the triangles and in finding the length of the radius R, and subsequently the diameter D.
Working out bolt circle diameter (BCD)© Eugene BrennanThe most straightforward case is when holes are equally spaced around in a circle.
If we will find the radius R of the bolt circle, then this provides us the diameter D
We calculated that:
θ = 360 / N
Also A is the spacing between holes.
D is the bolt circle diameter.
A triangle can also be drawn between the two ends of an arc on the bolt circle and the centre of the circle. This can also be break up up into two equivalent right angled triangles. The duration of the chord or line becoming a member of the two ends of the arc is A.
(For more data on circles see this information :How to Calculate Arc Length of a Circle Segment and Sector Area)
The sine of an angle in a right angled triangle is the ratio of the period of the facet reverse the angle to the duration of the hypotenuse.
So Sin (θ/2) = |opposite| / |hypotenuse| = (A/2) / R
Rearranging:
R = (A/2) / Sin (θ/2)
But D = 2R
So D = (A/2) / Sin (θ/2) x 2 = A/Sin (θ/2)
But we labored out θ = 360 / N
So substituting for θ gives
D = A/Sin (θ/2) = A/Sin ((360 / N)/2) = A/Sin (180 / N)
D = A/Sin (180 / N)
Equation for Bolt Circle Diameter
BCD equation. D is the BCD, N is the quantity of holes and A is the hollow spacing© Eugene BrennanWorking Out the BCD for a Chainring or Bash Guard
All you want to do to calculate the BCD is measure the hollow spacing A between adjoining holes, count the quantity of holes N and plug them into the equation above to calculate the BCD.
A bicycle chainringRalf Roletschek, CC-BY-SA 3.Zero symbol via Wikimedia CommonsTables of Bolt Circle Diameters
The tables underneath gives the BCD for hole spacings from 10 to 200 mm, 1 to 12 inches and three to eight holes.
Table 1 - Bolt Circle Diameters for Hole Spacings From 10 to 2 hundred mm
Number of HolesHole Spacing A (mm)
3
4
5
6
7
8
10
11.5
14.1
17.0
20
23.0
26.1
11
12.7
15.6
18.7
22
25.4
28.7
12
13.9
17.0
20.4
24
27.7
31.4
13
15.0
18.4
22.1
26
30.0
34.0
14
16.2
19.8
23.8
28
32.3
36.6
15
17.3
21.2
25.5
30
34.6
39.2
16
18.5
22.6
27.2
32
36.9
41.8
17
19.6
24.0
28.9
34
39.2
44.4
18
20.8
25.5
30.6
36
41.5
47.0
19
21.9
26.9
32.3
38
43.8
49.6
20
23.1
28.3
34.0
40
46.1
52.3
21
24.2
29.7
35.7
42
48.4
54.9
22
25.4
31.1
37.4
44
50.7
57.5
23
26.6
32.5
39.1
46
53.0
60.1
24
27.7
33.9
40.8
48
55.3
62.7
25
28.9
35.4
42.5
50
57.6
65.3
26
30.0
36.8
44.2
52
59.9
67.9
27
31.2
38.2
45.9
54
62.2
70.6
28
32.3
39.6
47.6
56
64.5
73.2
29
33.5
41.0
49.3
58
66.8
75.8
30
34.6
42.4
51.0
60
69.1
78.4
31
35.8
43.8
52.7
62
71.4
81.0
32
37.0
45.3
54.4
64
73.8
83.6
33
38.1
46.7
56.1
66
76.1
86.2
34
39.3
48.1
57.8
68
78.4
88.8
35
40.4
49.5
59.5
70
80.7
91.5
36
41.6
50.9
61.2
72
83.0
94.1
37
42.7
52.3
62.9
74
85.3
96.7
38
43.9
53.7
64.6
76
87.6
99.3
39
45.0
55.2
66.4
78
89.9
101.9
40
46.2
56.6
68.1
80
92.2
104.5
41
47.3
58.0
69.8
82
94.5
107.1
42
48.5
59.4
71.5
84
96.8
109.8
43
49.7
60.8
73.2
86
99.1
112.4
44
50.8
62.2
74.9
88
101.4
115.0
45
52.0
63.6
76.6
90
103.7
117.6
46
53.1
65.1
78.3
92
106.0
120.2
47
54.3
66.5
80.0
94
108.3
122.8
48
55.4
67.9
81.7
96
110.6
125.4
49
56.6
69.3
83.4
98
112.9
128.0
50
57.7
70.7
85.1
100
115.2
130.7
51
58.9
72.1
86.8
102
117.5
133.3
52
60.0
73.5
88.5
104
119.8
135.9
53
61.2
75.0
90.2
106
122.2
138.5
54
62.4
76.4
91.9
108
124.5
141.1
55
63.5
77.8
93.6
110
126.8
143.7
56
64.7
79.2
95.3
112
129.1
146.3
57
65.8
80.6
97.0
114
131.4
148.9
58
67.0
82.0
98.7
116
133.7
151.6
59
68.1
83.4
100.4
118
136.0
154.2
60
69.3
84.9
102.1
120
138.3
156.8
61
70.4
86.3
103.8
122
140.6
159.4
62
71.6
87.7
105.5
124
142.9
162.0
63
72.7
89.1
107.2
126
145.2
164.6
64
73.9
90.5
108.9
128
147.5
167.2
65
75.1
91.9
110.6
130
149.8
169.9
66
76.2
93.3
112.3
132
152.1
172.5
67
77.4
94.8
114.0
134
154.4
175.1
68
78.5
96.2
115.7
136
156.7
177.7
69
79.7
97.6
117.4
138
159.0
180.3
70
80.8
99.0
119.1
140
161.3
182.9
71
82.0
100.4
120.8
142
163.6
185.5
72
83.1
101.8
122.5
144
165.9
188.1
73
84.3
103.2
124.2
146
168.2
190.8
74
85.4
104.7
125.9
148
170.6
193.4
75
86.6
106.1
127.6
150
172.9
196.0
76
87.8
107.5
129.3
152
175.2
198.6
77
88.9
108.9
131.0
154
177.5
201.2
78
90.1
110.3
132.7
156
179.8
203.8
79
91.2
111.7
134.4
158
182.1
206.4
80
92.4
113.1
136.1
160
184.4
209.1
81
93.5
114.6
137.8
162
186.7
211.7
82
94.7
116.0
139.5
164
189.0
214.3
83
95.8
117.4
141.2
166
191.3
216.9
84
97.0
118.8
142.9
168
193.6
219.5
85
98.1
120.2
144.6
170
195.9
222.1
86
99.3
121.6
146.3
172
198.2
224.7
87
100.5
123.0
148.0
174
200.5
227.3
88
101.6
124.5
149.7
176
202.8
230.0
89
102.8
125.9
151.4
178
205.1
232.6
90
103.9
127.3
153.1
180
207.4
235.2
91
105.1
128.7
154.8
182
209.7
237.8
92
106.2
130.1
156.5
184
212.0
240.4
93
107.4
131.5
158.2
186
214.3
243.0
94
108.5
132.9
159.9
188
216.6
245.6
95
109.7
134.4
161.6
190
219.0
248.2
96
110.9
135.8
163.3
192
221.3
250.9
97
112.0
137.2
165.0
194
223.6
253.5
98
113.2
138.6
166.7
196
225.9
256.1
99
114.3
140.0
168.4
198
228.2
258.7
100
115.5
141.4
170.1
200
230.5
261.3
101
116.6
142.8
171.8
202
232.8
263.9
102
117.8
144.2
173.5
204
235.1
266.5
103
118.9
145.7
175.2
206
237.4
269.2
104
120.1
147.1
176.9
208
239.7
271.8
105
121.2
148.5
178.6
210
242.0
274.4
106
122.4
149.9
180.3
212
244.3
277.0
107
123.6
151.3
182.0
214
246.6
279.6
108
124.7
152.7
183.7
216
248.9
282.2
109
125.9
154.1
185.4
218
251.2
284.8
110
127.0
155.6
187.1
220
253.5
287.4
111
128.2
157.0
188.8
222
255.8
290.1
112
129.3
158.4
190.5
224
258.1
292.7
113
130.5
159.8
192.2
226
260.4
295.3
114
131.6
161.2
193.9
228
262.7
297.9
115
132.8
162.6
195.6
230
265.0
300.5
116
133.9
164.0
197.4
232
267.4
303.1
117
135.1
165.5
199.1
234
269.7
305.7
118
136.3
166.9
200.8
236
272.0
308.3
119
137.4
168.3
202.5
238
274.3
311.0
120
138.6
169.7
204.2
240
276.6
313.6
121
139.7
171.1
205.9
242
278.9
316.2
122
140.9
172.5
207.6
244
281.2
318.8
123
142.0
173.9
209.3
246
283.5
321.4
124
143.2
175.4
211.0
248
285.8
324.0
125
144.3
176.8
212.7
250
288.1
326.6
126
145.5
178.2
214.4
252
290.4
329.3
127
146.6
179.6
216.1
254
292.7
331.9
128
147.8
181.0
217.8
256
295.0
334.5
129
149.0
182.4
219.5
258
297.3
337.1
130
150.1
183.8
221.2
260
299.6
339.7
131
151.3
185.3
222.9
262
301.9
342.3
132
152.4
186.7
224.6
264
304.2
344.9
133
153.6
188.1
226.3
266
306.5
347.5
134
154.7
189.5
228.0
268
308.8
350.2
135
155.9
190.9
229.7
270
311.1
352.8
136
157.0
192.3
231.4
272
313.4
355.4
137
158.2
193.7
233.1
274
315.8
358.0
138
159.3
195.2
234.8
276
318.1
360.6
139
160.5
196.6
236.5
278
320.4
363.2
140
161.7
198.0
238.2
280
322.7
365.8
141
162.8
199.4
239.9
282
325.0
368.5
142
164.0
200.8
241.6
284
327.3
371.1
143
165.1
202.2
243.3
286
329.6
373.7
144
166.3
203.6
245.0
288
331.9
376.3
145
167.4
205.1
246.7
290
334.2
378.9
146
168.6
206.5
248.4
292
336.5
381.5
147
169.7
207.9
250.1
294
338.8
384.1
148
170.9
209.3
251.8
296
341.1
386.7
149
172.1
210.7
253.5
298
343.4
389.4
150
173.2
212.1
255.2
300
345.7
392.0
151
174.4
213.5
256.9
302
348.0
394.6
152
175.5
215.0
258.6
304
350.3
397.2
153
176.7
216.4
260.3
306
352.6
399.8
154
177.8
217.8
262.0
308
354.9
402.4
155
179.0
219.2
263.7
310
357.2
405.0
156
180.1
220.6
265.4
312
359.5
407.6
157
181.3
222.0
267.1
314
361.8
410.3
158
182.4
223.4
268.8
316
364.2
412.9
159
183.6
224.9
270.5
318
366.5
415.5
160
184.8
226.3
272.2
320
368.8
418.1
161
185.9
227.7
273.9
322
371.1
420.7
162
187.1
229.1
275.6
324
373.4
423.3
163
188.2
230.5
277.3
326
375.7
425.9
164
189.4
231.9
279.0
328
378.0
428.6
165
190.5
233.3
280.7
330
380.3
431.2
166
191.7
234.8
282.4
332
382.6
433.8
167
192.8
236.2
284.1
334
384.9
436.4
168
194.0
237.6
285.8
336
387.2
439.0
169
195.1
239.0
287.5
338
389.5
441.6
170
196.3
240.4
289.2
340
391.8
444.2
171
197.5
241.8
290.9
342
394.1
446.8
172
198.6
243.2
292.6
344
396.4
449.5
173
199.8
244.7
294.3
346
398.7
452.1
174
200.9
246.1
296.0
348
401.0
454.7
175
202.1
247.5
297.7
350
403.3
457.3
176
203.2
248.9
299.4
352
405.6
459.9
177
204.4
250.3
301.1
354
407.9
462.5
178
205.5
251.7
302.8
356
410.2
465.1
179
206.7
253.1
304.5
358
412.6
467.7
180
207.8
254.6
306.2
360
414.9
470.4
181
209.0
256.0
307.9
362
417.2
473.0
182
210.2
257.4
309.6
364
419.5
475.6
183
211.3
258.8
311.3
366
421.8
478.2
184
212.5
260.2
313.0
368
424.1
480.8
185
213.6
261.6
314.7
370
426.4
483.4
186
214.8
263.0
316.4
372
428.7
486.0
187
215.9
264.5
318.1
374
431.0
488.7
188
217.1
265.9
319.8
376
433.3
491.3
189
218.2
267.3
321.5
378
435.6
493.9
190
219.4
268.7
323.2
380
437.9
496.5
191
220.5
270.1
324.9
382
440.2
499.1
192
221.7
271.5
326.6
384
442.5
501.7
193
222.9
272.9
328.4
386
444.8
504.3
194
224.0
274.4
330.1
388
447.1
506.9
195
225.2
275.8
331.8
390
449.4
509.6
196
226.3
277.2
333.5
392
451.7
512.2
197
227.5
278.6
335.2
394
454.0
514.8
198
228.6
280.0
336.9
396
456.3
517.4
199
229.8
281.4
338.6
398
458.6
520.0
200
230.9
282.8
340.3
400
461.0
522.6
Table 2 - Bolt Circle Diameters for Hole Spacings From 1 to twelve Inches
Bolt circle diameter. Value in brackets is to nearest 1/16"© 2018 Eugene Brennan
Comments
신광철 on March 18, 2020:
Good information. However, I would like to suggest to deduct bolt hole diameter. Then we can simply measure the distance of the each hole's quadrant point.
A
D= ---------------- - Øh
sin(180/n)
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