What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 15 cm and 8 cm?

14 cm 15 cm 13 cm 17 cm

17 cm

We know that, Area of the circle = πr2 We have, Radius1 = 15 and Radius2 = 8 Let radius of bigger circle be R cm, then According to the question πR2 = πR12 + πR22 = R2 = 152 + 82 = R2 = 225 + 64 = R2 = 289 = R = 17