Question

question 9 of 10 what is the approximate area of the shaded sector in the circle shown below? 14 in 30° a. 51 in² b. 7.33 in² c. 3.67 in² d. 205 in²

Explanation:

Step1: Calculate circle area

$A_{\text{circle}} = \pi r^2 = \pi (14)^2 = 196\pi \, \text{in}^2$

Step2: Find sector fraction

$\text{Fraction} = \frac{30^\circ}{360^\circ} = \frac{1}{12}$

Step3: Compute sector area

$A_{\text{sector}} = \frac{1}{12} \times 196\pi \approx \frac{196 \times 3.14}{12} \approx 51 \, \text{in}^2$

Answer:

A. 51 in²