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# If the radius of the circle with centre O is 7 and the measure of angl

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Math Expert
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If the radius of the circle with centre O is 7 and the measure of angl [#permalink]

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18 May 2016, 02:12
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71% (01:05) correct 29% (01:00) wrong based on 132 sessions

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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

[Reveal] Spoiler:
Attachment:

p004-10.gif [ 647 Bytes | Viewed 4309 times ]
[Reveal] Spoiler: OA

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Manager
Joined: 07 Mar 2015
Posts: 110
Location: India
Concentration: General Management, Operations
GMAT 1: 590 Q46 V25
GPA: 3.84
WE: Engineering (Energy and Utilities)
Re: If the radius of the circle with centre O is 7 and the measure of angl [#permalink]

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18 May 2016, 03:54
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 [#permalink]

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18 May 2016, 08:23
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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

[Reveal] Spoiler:
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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Manager
Joined: 16 Mar 2016
Posts: 134
Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
Re: If the radius of the circle with centre O is 7 and the measure of angl [#permalink]

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18 May 2016, 10:48
Arc AB / 2 Pi r = 100 / 360 => Arc AB = 12
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Re: If the radius of the circle with centre O is 7 and the measure of angl [#permalink]

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24 Nov 2017, 06:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If the radius of the circle with centre O is 7 and the measure of angl   [#permalink] 24 Nov 2017, 06:34
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