Multiple choice

The total area of a circle and a square is 2611 cm2. The diameter of the circle is 42 cm. What is the sum of the circumference of the circle and the perimeter of the square (cm)?

  1. 272

  2. 276

  3. 250

  4. 266

  5. 259
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A Correct answer
Explanation

Circle diameter = 42 cm, so radius = 21 cm. Circle area = πr² = π(21)² ≈ 1385.44 cm². Square area = 2611 - 1385.44 ≈ 1225.56 cm². Square side = √1225.56 ≈ 35 cm. Circle circumference = 2πr = 2π(21) ≈ 132 cm. Square perimeter = 4×35 = 140 cm. Sum = 132 + 140 = 272 cm.

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