Multiple choice

If the area of a semicircle is 84 cm$^2$, then the area of the circle is .......................

  1. 144 cm$^2$
  2. 42 cm$^2$
  3. 168 cm$^2$
  4. 288 cm$^2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area of a semicircle is (1/2) * pi * r^2 = 84. The area of the full circle is pi * r^2. Therefore, the area of the circle is 2 * 84 = 168.

AI explanation

A semicircle represents exactly half the area of a full circle. Therefore, to find the full area, you simply multiply the given semicircle area by two. The calculation is 84 cm^2 multiplied by 2, resulting in an area of 168 cm^2.