Find the area of the figure to the nearest tenth
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Answer:
A
Step-by-step explanation:
This is a sector of a circle measuring 140° and the circle has radius 9 inches.
We can use the formula for the area sector of a circle to figure this out.
Area of a Sector of a Circle = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where
[tex]\theta[/tex] is the intercepted angle (here it is 140), and
r is the radius (here it is 9)
plugging into the formula, we get:
[tex]A=\frac{\theta}{360}*\pi r^2\\=\frac{140}{360}*\pi (9)^2\\=\frac{7}{18}*81\pi\\=98.96[/tex]
rounding to nearest tenth, it is 99.0 inches squared.
Option A is right.