Question

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

A 225π yd2
B 10π yd2
C 125π yd2
D 18.75π yd2

Answer 1

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

Answer 2

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

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=((m(arc))/(360))(area of circle)`

`A=((30)/(360))({\pi}R^2)`

`A=(1)/(12){\pi}(15)^2`

`A=(225)/(12){\pi}`

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

therefore, option D is correct.