Multiple choice

Area of a circle is the sum of areas of two circles with radii 10 cm and 24 cm. Find the radius of the larger circle.

  1. 26 cm

  2. 30 cm

  3. 32 cm

  4. 34 cm
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A Correct answer
Explanation

Area = pi * R^2 = pi * (10^2 + 24^2) = pi * (100 + 576) = pi * 676. R = sqrt(676) = 26.

AI explanation

The area of the larger circle equals the sum of the areas of the two smaller circles, so pi times R squared = pi times 10 squared + pi times 24 squared. Factoring out pi leaves R squared = 100 + 576, which gives R squared = 676. Taking the square root, the radius of the larger circle is 26 cm.

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