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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.
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Radius of 1st circle = 19cm
Radius of 2nd circle = 9 cm
Circumference of 1st circle = 2(19) = 38ЁЭЬЛ cm
Circumference of 2nd circle = 2ЁЭЬЛ (9) = 18ЁЭЬЛ cm
Let radius of required circle = R cm
Circumference of required circle = 2ЁЭЬЛR = ЁЭСР1 + ЁЭСР2
2ЁЭЬЛR = 38ЁЭЬЛ + 18ЁЭЬЛ
2ЁЭЬЛR = 56ЁЭЬЛ
R = 28 cms
Area of required circle = ЁЭЬЛr2
=`22/7× 28 × 28`
= 2464 ЁЭСРЁЭСЪ2
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