Q. 104.1( 8 Votes )

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is
A. 31 cm

B. 25 cm

C. 62 cm

D. 50 cm

Answer :

Area of first circle = πr2 = π(24)2 = 576π m2


Area of second circle = πr2 = π(7)2 = 49π m2


Now, we are given that,


Area of the circle = Area of first circle + Area of second circle


πR2 = 576π +49π


(where, R is the radius of the new circle)


πR2 = 625π


R2 = 625


R = 25


Radius of the circle = 25cm


Thus, diameter of the circle = 2R = 50 cm.

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