uptetd16p2 q124

0. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m. The radius of the new park would be

  • Option : A
  • Explanation : (A) Let 'R' be the radius of the new circle. Area of new circular park = Area of circle 1 of diameter 16 m + Area of circle 2 of diameter 12 m
    ⇒ πR2 = π(8)2 + π(6)2 [∵ R1 = 16/2 = 8 R2 = 12/2 = 6]
    ⇒ πR2 = 64π + 36π
    ⇒ πR2 = 100π
    ⇒ R2 = 100 ⇒ R = 10 m
Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *