Find the area of the sector of the circle with radius 2 feet and central angle .

Question

Find the area of the sector of the circle with radius 2 feet and central angle  .

Quizplus · Accepted Answer

The area of the sector is given by $\frac{	heta}{360^\circ}\pi r^2$, where $	heta$ is the central angle and $r$ is the radius. Substituting the given values, we get $\frac{11eb80b1_afe3_070b_a291_fb4f05728d53_TB8633_11}{360^\circ}\pi (2	ext{ ft})^2$. Using a calculator (or estimating), we see that $\frac{11eb80b1_afe3_070b_a291_fb4f05728d53_TB8633_11}{360^\circ} \approx 0.925$ (rounded to three decimal places). Substituting this value and simplifying, we get the area to be approximately 11eb80b1_afe3_2e1e_a291_6d13ac7fb97e_TB8633_11 square feet, which matches choice (C).

Find the Area of the Sector of the Circle with Radius