Question

2. The radii of two circles are 8 cm and 6 cm respectively. Find
the radius of the circle having area equal to the sum of the
areas of the two circles.​

Answer 1

Let the radius of required circle is r cm. 

So, πr2=πr12+πr22

r2=r12+r22

r2=(8)2+(6)2

r2=100

r=10cm