The radii of two circles are 19cm and 9 cm respectively. Find the radius and area of the circle
The radii of two circles are 19cm and 9cm respectively. Find the radius and area of the circle which has circumferences is equal to sum of circumference of two circles.
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Radius of 1st circle = 19 cm
Radius of 2nd circle = 9 cm
Circumference of 1st circle = 2π(19) = 38π cm
Circumference of 2nd circle = 2π (9) = 18π cm
Let radius of required circle = R cm
Circumference of required circle = 2πR = c1+c2
2πR = 38π + 18π
2πR = 56π
R = 28 cms
Area of required circle = πr2
=22/7 x 28 x 28
=2464 cm2
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