Multiple choice

Sum of the circumference of two circles is 220 cm. If the ratio between the radius of these two circles is 2 : 3 then find the sum of area of bigger circle and a square whose side is two times of the radius of smaller circle?

  1. 2140 cm2

  2. 2150 cm2

  3. 2170 cm2

  4. 2155 cm2

  5. 2175 cm2
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C Correct answer
Explanation

Let the radii be 2r and 3r (given ratio 2:3). Circumference = 2πR, so 2π(2r) + 2π(3r) = 220. This gives 10πr = 220, so r = 7 (using π = 22/7). Larger circle radius = 21 cm, area = π(21)² = 1386 cm². Square side = 2 × smaller radius = 2 × 14 = 28 cm. Square area = 784 cm². Total area = 1386 + 784 = 2170 cm².

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