The sector of a circle has perimeter 83 cm and central angle 225o. Find its radius?
Options
A) 21 cm B) 15 cm C) 14 cm D) 24 cm E) 28 cm

Rationale: let radius = x cm perimeter of the sector = length of the arc + 2 ( radius ) 83 = ( 225 / 360 * 2 * 22 / 7 * x ) + 2 ( x ) 83 = 55 x / 14 + 2 x 83 = 83 x / 14 1162 = 83 x x = 14 answer : c
Answer: C