Multiple choice

The total area of a circle and a square is 5450 cm2.The diameter of the circle is 70 cm.What is the difference between the circumference of the circle and perimeter of the square?

  1. 64 cm.

  2. 68 cm.

  3. 70 cm.

  4. 56 cm.

  5. None of these

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

Circle diameter = 70 cm, so radius = 35 cm. Area of circle = πr² = (22/7) × 35² = 22 × 5 × 35 = 3850 cm². Total area = 5450 cm², so square area = 5450 - 3850 = 1600 cm². Square side = √1600 = 40 cm. Circumference = 2πr = 2 × (22/7) × 35 = 220 cm. Perimeter of square = 4 × 40 = 160 cm. Difference = 220 - 160 = 60 cm. None of the options match 60 cm, so E is correct.