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Question
The radii of two circles are 19cm and 9 cm respectively. Find the radius and area of the circle which has circumferences is equal to sum of circumference of two circles.
Solution
Radius of 1st circle = 19cm
Radius of 2nd circle = 9 cm
Circumference of 1st circle = 2(19) = 38๐ cm
Circumference of 2nd circle = 2๐ (9) = 18๐ cm
Let radius of required circle = R cm
Circumference of required circle = 2๐R = ๐1 + ๐2
2๐R = 38๐ + 18๐
2๐R = 56๐
R = 28 cms
Area of required circle = ๐r2
=`22/7× 28 × 28`
= 2464 ๐๐2
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