Multiple choice

The sum of the circumference of a circle and the perimeter of a square is equal to 272 cm. The diameter of the circle is 56 cm. What is the sum of the area of the circle and the square?

  1. 3060 sq. cm.

  2. 3040 sq. cm.

  3. 5090 sq. cm.

  4. 4440 sq. cm.

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given diameter=56, so radius=28. Circumference = 2πr = 2π(28) = 176π ≈ 176(22/7) = 552.77. Perimeter of square = 272 - 552.77... This gives negative value, suggesting the problem means circumference + perimeter = 272π, not 272. With diameter 56: Circle area = πr² = π(28)² = 2464 ≈ 2464 sq cm. Side of square = 14. Square area = 196. Total = 2464 + 196 = 2660. None match exactly, but 3040 sq cm is closest to expected calculation if using π=22/7.