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If the radius of the circle with centre O is 7 and the measure of angl
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18 May 2016, 01:12
18 May 2016, 01:12
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If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?
A. 9
B. 10
C. 11
D. 12
E. 13
Attachment:
p004-10.gif [ 647 Bytes | Viewed 13389 times ]
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Re: If the radius of the circle with centre O is 7 and the measure of angl
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18 May 2016, 02:54
18 May 2016, 02:54
The arc length : 14 π * (100/360) = 12
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If the radius of the circle with centre O is 7 and the measure of angl
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18 May 2016, 07:23
18 May 2016, 07:23
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Bunuel wrote:
If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?
A. 9
B. 10
C. 11
D. 12
E. 13
Attachment:
p004-10.gif
Measure of the arc =\(\frac{θ}{360} * 2π * r\)
Measure of the arc = \(\frac{100}{360} * 2 *\frac{22}{7}* 7\)
Measure of the arc = 12
Hence answer will be (D) 12
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Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
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Re: If the radius of the circle with centre O is 7 and the measure of angl
[#permalink]
18 May 2016, 09:48
18 May 2016, 09:48
Arc AB / 2 Pi r = 100 / 360 => Arc AB = 12
If the radius of the circle with centre O is 7 and the measure of angl
[#permalink]
08 Jul 2019, 04:48
08 Jul 2019, 04:48
Bunuel wrote:
If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?
A. 9
B. 10
C. 11
D. 12
E. 13
Attachment:
p004-10.gif
given: r=7 then d=14 and circumference=14π=3.124…
so: arc AB has a length of 100/360*14π… 5/18*14π… 35π/9… aprox. 35/3=11+2/3=12
Answer (D).
Re: If the radius of the circle with centre O is 7 and the measure of angl
[#permalink]
11 Jul 2019, 10:07
11 Jul 2019, 10:07
Bunuel wrote:
If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?
A. 9
B. 10
C. 11
D. 12
E. 13
Attachment:
p004-10.gif
Bunuel, I have a question here , how can we assume that the question is asking for the length of minor arc AB here? only by the option it is reflecting that the question has asked for minor arc length, but if such question stem is given as DS, it will be difficult i assume that whether it has asked for major or minor arc length coz depending upon this the angle subtends at the centre will be different , hence the answer.
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Re: If the radius of the circle with centre O is 7 and the measure of angl
[#permalink]
12 Jul 2019, 18:09
12 Jul 2019, 18:09
1
Bookmarks
Expert Reply
Bunuel wrote:
If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?
A. 9
B. 10
C. 11
D. 12
E. 13
Attachment:
p004-10.gif
The circumference is 14π, so arc AB is:
100/360 x 14π
10/36 x 14π
5/18 x 14π
70π/18 = 35π/9
Let’s round 35 to 36 and π to 3, so 35π/9 ≈ (36 x 3)/9 = 4 x 3 = 12.
Answer: D
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Re: If the radius of the circle with centre O is 7 and the measure of angl
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20 Nov 2022, 03:01
20 Nov 2022, 03:01
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Re: If the radius of the circle with centre O is 7 and the measure of angl [#permalink]
20 Nov 2022, 03:01
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