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What is the radius, in inches, of Circle O?

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Bunuel
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What is the radius, in inches, of Circle O? [#permalink] New post   14 Feb 2016, 03:06
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65% (hard)

Question Stats:

50% (01:43) correct 50% (01:22) wrong based on 76 sessions
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What is the radius, in inches, of Circle O?

(1) Arc x is 1⁄16 of the circumference.
(2) Area of the shaded region is 3,600⁄π square inches.

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D
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Mo2men
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Re: What is the radius, in inches, of Circle O? [#permalink] New post   15 Feb 2016, 03:42
Arc length= 30, then.......... 2πr (n/360)=30......πr (n/360)=15

1) Arc X/circumference =1/16.............30/2πr = 1/16 .........r =240/π Suf

2) Arc area = πr^2 *n/360 ....3,600⁄π= 15r.....r = 240/π Suf


Answer: D
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Nova12
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What is the radius, in inches, of Circle O? [#permalink] New post   15 Feb 2016, 04:50
Mo2men, I don't quite get how you went from πr^2 *n/360 to 15r for statement B.

Would you care to elaborate please?

Edit// Okay, I got it. No explanation necessary
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Re: What is the radius, in inches, of Circle O? [#permalink] New post   15 Feb 2016, 07:30
Nova12 wrote:
Mo2men, I don't quite get how you went from πr^2 *n/360 to 15r for statement B.

Would you care to elaborate please?

Edit// Okay, I got it. No explanation necessary



Hi,

fact 2: 3600/π = πr^2 *n/360 ... (A)

from the given arc length equation I deduced the following: πr (n/360)=15.... (B)

Substituting from (B) in (A)

3600/ π= (πr *n/360)*r so 3600/ π=15r

I hope it helps
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Re: What is the radius, in inches, of Circle O? [#permalink] New post   15 Feb 2016, 10:43
I would also go for D as both statements are sufficient....
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Re: What is the radius, in inches, of Circle O? [#permalink]
15 Feb 2016, 10:43
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Bunuel
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