Question

Question 5 of 10

What is the approximate area of the shaded sector in the circle shown below?
A. 25 img
4.3 in
155
B. 5.82 in2
с
C. 11.63 in 2
D. 50 in2
SUBMIT

Answer 1

25
`in^2`

Explanation:

To find the area we need to use the expression
`(x)/(360)` ·
`\pi r^2`

When you substitute and solve you should get 25
`in^2`

Answer 2

25 in ^2

Explanation:

First find the area of the circle

A = pi r^2

A = 3.14 ( 4.3)^2

A =58.0586

The take the fraction of the circle that is shaded

A circle is 360 degrees

155/360

155 /360 * the total area = area shaded

31/72 * 58.0586 = 24.99745278 in ^2

Rounding yields 25 in ^2