Question

question 10 of 10 what is the approximate area of the shaded sector in the circle shown below? a. 18.8 cm² b. 6.28 cm² c. 75.4 cm² d. 3.14 cm²

Explanation:

Step1: Determine sector fraction

$\frac{60^\circ}{360^\circ} = \frac{1}{6}$

Step2: Calculate circle area

$\pi r^2 = \pi (6)^2 = 36\pi \, \text{cm}^2$

Step3: Compute sector area

$\frac{1}{6} \times 36\pi = 6\pi \approx 6 \times 3.14 = 18.84 \, \text{cm}^2$

Answer:

A. 18.8 cm²