Question

if you slice a circle into 4 equal sectors, what is the area of one sector if the radius is 8 cm?
a. 16π cm²
b. 32π cm²
c. 10π cm²
d. 26π cm²

Explanation:

Step1: Find area of full circle

The formula for the area of a circle is $A = \pi r^2$. Substitute $r=8$ cm:
$A = \pi (8)^2 = 64\pi$ cm²

Step2: Divide by 4 for one sector

Since the circle is split into 4 equal sectors, divide the total area by 4:
$\text{Area of 1 sector} = \frac{64\pi}{4} = 16\pi$ cm²

Answer:

a. $16\pi$ cm²