Question

What is the area of sector CED when DE = 15 yd?

Answer 1

Answer:

(D)$A=18.75{\pi} (yd)^2$

Step-by-step explanation:

Given: In a circle, the measure of DE is 15 yd.

To find: The area of sector CED.

Solution: It is given that  In a circle, the measure of DE is 15 yd.

Now, area of sector CED is given as:

$A=(\frac{m(arc)}{360})(area of circle)$

$A=(\frac{30}{360})({\pi}R^2)$

$A=\frac{1}{12}{\pi}(15)^2$

$A=\frac{225}{12}{\pi}$

$A=18.75{\pi} (yd)^2$

therefore, option D is correct.

Answer 2

Area of sector = [m(arc)/360][area of the circle]

Area of sector CED = [30/360][pi][15^2]

Area of sector CED = [1/12][225][pi] = 18.75pi yd^2