The radii of two circles are 48 cm and 13 cm. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.
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Question

The radii of two circles are 48 cm and 13 cm. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.

KnowledgeBoat · Accepted Answer

Circumference of a circle = 2πr For the first circle, r₁ = 48 cm Circumference₁ = 2 x π x 48 = 96π cm For the second circle, r₂ = 13 cm Circumference₂ = 2 x π x 13 = 26π cm Total circumference = Circumference₁ - Circumference₂ = 96π - 26π = 70π cm Let the radius of the new circle be `R`. Circumference of the new circle = 2πR 70π = 2πR 70 = 2R R = R = 35 cm And, area of the new circle = πr² Hence, the area of new circle is 3,850 cm².

Mathematics

The radii of two circles are 48 cm and 13 cm. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.

Mensuration

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