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