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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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Answer» 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 |
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