Quant Question Of The Day: 109
Regular Polygon- Geometry
A regular polygon has an even number of sides . If the product of the length of its side and the distance between two opposite sides is 1/4th of its area. Find the number of sides it has .
Let the number of sides be 2n. Let the length of the side be S and the length of the perpendicular from the centre to each side be P. Since the number of sides is even , the opposite sides will be parallel and the distance between any two opposite sides is equal to 2P.
Also , area of the polygon (A) = 2n ( SP/2) —- (1)
Given that S (2P) = A/4 or SP = A/8
Therefore A = n ( A/8)
n = 8 or 2n = 16
See our previous ‘Questions of the Day’:
Quant Question Of The Day: 108
Quant Question Of The Day: 107
1 comments