Question

The radii of circles are 8 cm and 9 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles​

Answer 1

R1 = 8 cm

R2 = 9 cm

A1 = pi × R1 × R1 = 3.14 × 8 × 8 = 201 cm^2

A2 = pi × R2 × R2 = 3.14 × 9 × 9 = 254 cm^2

Now, the area of the third circle should be = A1 + A2

= 201 + 254 = 455 cm^2

Therefore,

455 = pi × R3 × R3

455/pi = R3 ×  R3

144 = R3 × R3

R3^2 = 144

R3 = 12

Thus, the radius of the third circle will be 12 cm.

Hope this helped!

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