Question

4. The radii of two circles are 3 cm and 4 cm. Find the radius of a circle whose area
is equal to the sum of the areas of the two circles.​

Answer 1

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Area of a circle  =πr2

Area of a circle of radius 3m=πr2=722×32

Area of a circle of radius 4m=πr2=722×42

Area of the circle, which is sum of the areas of circles of radius 3m and 4m=722×32+722×42=722×(9+16)=722×(25)

Let the radius of this circle be R.

πR2=722×(25)

=>R2=25

R=5m.