Multiple choice

If the length of a rectangle is 22m and area of the rectangle is 154m2. Then find the area of the circle whose radius is half of the rectangles breadth?

  1. 37 cm2

  2. 42.5 cm2

  3. 38.5 cm2

  4. 5.5 cm2

  5. None of these

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

Rectangle area = length × breadth, so 154 = 22 × breadth, giving breadth = 7 m = 700 cm. Circle radius = half of breadth = 350 cm. Circle area = pi × r² = (22/7) × 350² = (22/7) × 122500 = 22 × 17500 = 385000 cm² = 38.5 m². Note: The answer options show cm² but the calculation gives 38.5 m² (385000 cm²), which matches option C as 38.5.