The radius of two circles are 10 cm and 24 cm. The radius of a circle whose area is sum of area of these two circles is?
Answer & explanation
Correct answer: option 4
area of circle C = area of circle A + area of circle B
πr2 = πr12 + πr22
⇒ r2 = r12 + r22
⇒ r2 = 102 + 242
= 100 + 576 = 676
r = \(\sqrt {676}\) = 26 cm