Question

What is the area of the figure to the nearest tenth?

(picture attached below)

Answer Choices:
A. 6.0 in²
B. 12.0 in²
C. 24.0 in²
D. 26.3 in²

thank you so much in advance! :)

Answer 1

answer is C. 24.0 in²
hope it helps
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Answer 2

Area of the given figure is
`24.0`
`in^2`

Explanation:

Area of sector of a circle with radius r and central angle
`\theta`

is given by

Area of sector =
`(\theta)/(360) \pi r^2`

here we have

`r= 4`
`in`

`\theta =172 degree`

Now we plug the values in the formula

so we have

Area of sector =
`(172)/(360) \pi (4)^2`

=
`(172)/(360) (3.14)(16)`

=
`24.0`
`in^2`

Hence the area of the given figure is
`24.0`
`in^2`