The radius of two circles are given to be 8 cm and 6 cm respectively. Find out the radius of the circle having area equal to the sum of the areas of the two given circles.

Explanation

Area of circle=`pir^2`

`r_1=8cm, r_2=6cm`

Area of circle 1=`pir_1^2=64pi`

Area of circle 2=`pir_2^2=36pi`

Area of third circle=area of cirle1+2

`pir^2=64pi+36pi`

`pir^2=100pi`

`r^2=100`

...