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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
Joined: 02 Sep 2009
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Kudos [?]: 135739 [0], given: 12707

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

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18 May 2016, 01:12
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15% (low)

Question Stats:

73% (01:09) correct 27% (00:54) wrong based on 113 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 3290 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135739 [0], given: 12707

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Joined: 07 Mar 2015
Posts: 110

Kudos [?]: 30 [0], given: 48

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, 02:54
The arc length : 14 π * (100/360) = 12

Kudos [?]: 30 [0], given: 48

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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, 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

[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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Kudos [?]: 1150 [0], given: 327

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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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18 May 2016, 09:48
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, 05:34
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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, 05:34
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