Question

calculator
what is the area of the partial circle with a radius of 8 cm?
use 3.14 for pi.
37.68 cm²
50.24 cm²
150.72 cm²
200.96 cm²

Explanation:

Step1: Determine the fraction of the circle

The partial circle has a right angle (90°) missing, so the fraction of the circle present is $1 - \frac{90}{360} = \frac{3}{4}$.

Step2: Calculate the area of the full circle

The formula for the area of a circle is $A = \pi r^2$. Given $r = 8$ cm and $\pi = 3.14$, the area of the full circle is $3.14 \times 8^2 = 3.14 \times 64 = 200.96$ $cm^2$.

Step3: Calculate the area of the partial circle

Multiply the area of the full circle by the fraction of the circle present: $\frac{3}{4} \times 200.96 = 150.72$ $cm^2$.

Answer:

150.72 $cm^2$ (corresponding to the option "150.72 $cm^2$")