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?
Answer & explanation
Correct answer: option 4
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