Question

Find the diameter of a circle in cm whose area is equal to the sum of the area of the two circles of radii 24 cm and 7 cm.

• A. 31
• B. 25
• C. 62
• D. 50

Answer 1

The correct option is D

50

Let $r$ be the radius of the circle.

Given,
The area of the circle = sum of areas of circles with radius 24 and 7

$\Rightarrow \pi r^2=\pi ({24}^2+7^2)\Rightarrow r^2=576+49=625\therefore r=25$

$Diameter=50cm$