Please tell me how to solve the question in attached image
Thanks
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Geometry question
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Mayur Sand
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gmatmachoman
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My approach :
Length of arc ABC : 24
Arc AB +Arc BC = Arc ABC
Since it is a equilateral triangle, arc should be of equal length.
Arc AB = 12
Arc BC=12
Arc CA= 12
So Perimeter/circumference = Total Arc Length = Arc AB+Arc BC+Arc CA
= 12+12+12
= 36
Pi *d = 36
d= 11.45 equivalent to 11
Pick C
Length of arc ABC : 24
Arc AB +Arc BC = Arc ABC
Since it is a equilateral triangle, arc should be of equal length.
Arc AB = 12
Arc BC=12
Arc CA= 12
So Perimeter/circumference = Total Arc Length = Arc AB+Arc BC+Arc CA
= 12+12+12
= 36
Pi *d = 36
d= 11.45 equivalent to 11
Pick C
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selango
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- Joined: Tue Dec 29, 2009 1:28 am
- Thanked: 135 times
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Another approach,
Since abc is equilateral,all angles are equal and 60.
Let the centre of triangle be O.
-->AOB=120 and BOC=120
Length of arc ABC=Length of arc AB+Length BC
24=120/360*pi*d+120/360*pi*d
pi*d=36
-->11 approx
Since abc is equilateral,all angles are equal and 60.
Let the centre of triangle be O.
-->AOB=120 and BOC=120
Length of arc ABC=Length of arc AB+Length BC
24=120/360*pi*d+120/360*pi*d
pi*d=36
-->11 approx
