Multiple choice

If the circumference of a circle is 22 cm, find the area of the circle.

  1. 38.5 sq. cm

  2. 19.25 sq. cm

  3. 44 sq. cm

  4. 77 sq. cm

  5. NA
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Circumference = 2 * pi * r = 22. So, r = 22 / (2 * pi) = 7 / 2 = 3.5 cm. Area = pi * r^2 = (22/7) * (3.5)^2 = (22/7) * 12.25 = 38.5 sq. cm.

AI explanation

Using the formula for the circumference of a circle, we write 22 = 2 times pi times r, which gives a radius of 11 divided by pi cm. Substituting this into the area formula gives pi times the square of 11 divided by pi, yielding 121 divided by pi. Taking pi as 22 over 7, the area becomes 121 times 7 divided by 22, which equals 38.5 sq. cm.

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