Length of arc ABC=2/3 *(Circumference of circle)
24=2/3*(2*Pi*r)=2/3(pi*d)
pi*d=36 or d=36/pi=11
Pick C
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Source: Beat The GMAT — Problem Solving |
selango wrote:Length of arc ABC=2/3 *(Circumference of circle)
24=2/3*(2*Pi*r)=2/3(pi*d)
pi*d=36 or d=36/pi=11
Pick C
but how you can take this statement ->
Length of arc ABC=2/3 *(Circumference of circle) .....? why
Angle inscribed by arc AC at the center of circle is twice the angle inscribed at any other point in the circle. So, angle inscribed by arc AC at the center of the circle = 2(60) = 120º
Length of arc ABC = (240/360)*2(pi)(radius) = (2/3)*2(pi)*(r) = 24
We need to find the value of 2(r)
So, 2r = (24 * 3)/(2)*(pi) = 36/(pi) = 11 (appr.)
The correct answer is [spoiler](C)[/spoiler].
Length of arc ABC = (240/360)*2(pi)(radius) = (2/3)*2(pi)*(r) = 24
We need to find the value of 2(r)
So, 2r = (24 * 3)/(2)*(pi) = 36/(pi) = 11 (appr.)
The correct answer is [spoiler](C)[/spoiler].
Rahul Lakhani
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Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
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Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
thank you,but can you explain me little bit clear...Rahul@gurome wrote:Angle inscribed by arc AC at the center of circle is twice the angle inscribed at any other point in the circle. So, angle inscribed by arc AC at the center of the circle = 2(60) = 120º
Length of arc ABC = (240/360)*2(pi)(radius) = (2/3)*2(pi)*(r) = 24
We need to find the value of 2(r)
So, 2r = (24 * 3)/(2)*(pi) = 36/(pi) = 11 (appr.)
The correct answer is [spoiler](C)[/spoiler].
Angle inscribed by arc ABC at the center of circle = 240º (as explained earlier)pzazz12 wrote: thank you,but can you explain me little bit clear...
Angle at the center of the circle = 360º
Therefore, length of arc ABC = (240/360)*2(pi)(radius)
Hope that helps.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
