# The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having its are equal

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

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Radius of circles are 8cm and 6cm

Area of circle with radius 8cm = π(8)2=64πcm2

Area of circle with radius 6cm = π(6)2=36π cm2

Areas sum = 64π + 36π = 100π cm2

Radius of circle be x cm

Area = πx2

πx2 = 100π

x2=100

⇒x=√100=10cm