gmat prep
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- shovan85
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IMO C
Let O be the center.
arc ABC = 24 cm
The exterior angle substended by A and C at O is 120 + 120 = 240 (see the picture below)
Thus 240 deg --> 24 cm
Full circle 360 deg --> 36cm
So (pie)*(Diameter) = 36
=> Diameter = 36/(3.14) = 11.46
Let O be the center.
arc ABC = 24 cm
The exterior angle substended by A and C at O is 120 + 120 = 240 (see the picture below)
Thus 240 deg --> 24 cm
Full circle 360 deg --> 36cm
So (pie)*(Diameter) = 36
=> Diameter = 36/(3.14) = 11.46
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If the problem is Easy Respect it, if the problem is tough Attack it
easier way if i may:
If the triangle is equalateral...that means each arc 1/3rd lengh is equal..total arc length for 2/3rds of the circumference is 24, so C = 36
C= 2piR we can have r = C/2pi -> 2R is the answer which is 11.4sh
If the triangle is equalateral...that means each arc 1/3rd lengh is equal..total arc length for 2/3rds of the circumference is 24, so C = 36
C= 2piR we can have r = C/2pi -> 2R is the answer which is 11.4sh
- shovan85
- Community Manager
- Posts: 991
- Joined: Thu Sep 23, 2010 6:19 am
- Location: Bangalore, India
- Thanked: 146 times
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Always Welcome!!5abi wrote:easier way if i may:
If the triangle is equalateral...that means each arc 1/3rd lengh is equal..total arc length for 2/3rds of the circumference is 24, so C = 36
C= 2piR we can have r = C/2pi -> 2R is the answer which is 11.4sh
If the problem is Easy Respect it, if the problem is tough Attack it
5abi wrote:easier way if i may:
If the triangle is equalateral...that means each arc 1/3rd lengh is equal..total arc length for 2/3rds of the circumference is 24, so C = 36
C= 2piR we can have r = C/2pi -> 2R is the answer which is 11.4sh
thank you very much......... for simple method...