Answer:
(D)[tex]A=18.75{\pi} (yd)^2[/tex]
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:
[tex]A=(\frac{m(arc)}{360})(area of circle)[/tex]
[tex]A=(\frac{30}{360})({\pi}R^2)[/tex]
[tex]A=\frac{1}{12}{\pi}(15)^2[/tex]
[tex]A=\frac{225}{12}{\pi}[/tex]
[tex]A=18.75{\pi} (yd)^2[/tex]
therefore, option D is correct.
