# 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.

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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.

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Answer:Area of first circle = πr2

= π82 = 64π sq cm

Area of second circle = π62 = 36π sq cm

As per question; area of the largest circle = 64π + 36π

= 100π sq cm

Or, πr2 = 100π

Or, r2 = 100

Or, r = 10 cm