Question

Find the diameter of a circle whose area is equal to the sum of areas of 2 circles of radii 24cm and 10cm

Answer 1

area of circle of diameter 10 = $\pi$*(5)² = 25$\pi$

area of circle of diameter 24 = $\pi$(12)² = 144$\pi$

area of larger circle = 25$\pi$ + 144$\pi$ = 169$\pi$

$\pi r^{2}$ = 169$\pi$

$r^{2}$ = 169

r=13

thus, d=13*2 = 26cm