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
(D) 50 cm
Solution
area of circle =
Radius of first circle (r1) = 24
Area =
Radius of second circle (r2) = 7 cm
Area
Radius of third circle = R
Area of third circle =
According to question
(Because radius is always positive)
Radius of circle = 25 cm
Diameter =2 R=2 25=50cm