Multiple choice

The total area of a circle and a square is equal to 5450 sq. cm. The diameter of the circle is 70 cm. What is the sum of the circumference of the circle and the perimeter of the square?

  1. 360 cm

  2. 380 cm

  3. 270 cm

  4. Cannot be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Radius = 35 cm. Area of circle = pi * 35^2 = 3850. Area of square = 5450 - 3850 = 1600. Side of square = 40. Circumference = 2 * pi * 35 = 220. Perimeter = 4 * 40 = 160. Sum = 220 + 160 = 380.

AI explanation

Using the given diameter of 70 cm, the radius of the circle is 35 cm. The area of the circle is calculated as 22/7 times 35 squared, which gives 3850 square cm. Subtracting this from the total area of 5450 square cm leaves 1600 square cm for the area of the square, meaning each side of the square is 40 cm. The circumference of the circle is 2 times 22/7 times 35, which is 220 cm, and the perimeter of the square is 4 times 40, which is 160 cm. Adding the circumference of 220 cm and the perimeter of 160 cm gives a total of 380 cm.

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