Question

The radii of two circles are 12 cm and 16 cm respectively.Find the radius of a circle whose area is equal to the sum of the areas of the two circles


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Answer 1

Answer:

20cm

Step-by-step explanation:

Let the unknown radius be R and given radius be r1 and r2,

Area of biggest circle = Area of Ist circle+Area of 2nd circle

πR² = π r1² + π r2²

π R² = π (r1² + r2²)

R² = r1² + r2²

R² = 12² + 16²

R² = 144 + 256

R² = 400

R = √400

R = 20cm

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