Question

1. find the area of the shaded sector of circle o.

a. $5\pi$
b. $20\pi$
c. $25\pi$
d. $50\pi$

Explanation:

Step1: Identify sector parameters

Radius $r=10$, central angle $\theta=90^\circ$

Step2: Use sector area formula

Formula: $\text{Area} = \frac{\theta}{360^\circ} \times \pi r^2$
Substitute values: $\frac{90^\circ}{360^\circ} \times \pi \times 10^2$

Step3: Simplify the expression

$\frac{1}{4} \times \pi \times 100 = 25\pi$

Answer:

C. $25\pi$