Multiple choice

The sum of areas of a circle and a rectangle is 1166 sq. cm.The diameter of circle is 28 cm. If the length of rectangle is 25 cm then what is the sum of circumference of circle and perimeter of rectangle.

  1. 186 cm

  2. 182 cm

  3. 184 cm

  4. Can't be determined

  5. 174 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Circle radius = 28/2 = 14 cm. Circle area = π(14)² ≈ 616 cm². Rectangle area = 1166 - 616 = 550 cm². Rectangle width = 550/25 = 22 cm. Rectangle perimeter = 2(25+22) = 94 cm. Circle circumference = 2π(14) ≈ 88 cm. Total = 94 + 88 = 182 cm. The key is finding the rectangle width from area difference.

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