# Solve each problem. Show your work. The diameter of a circle is 12 inches. Find the area of a sector of the circle with a central angle that measures 110∘. Use 3.14 for π.π. Round to the nearest hundredth.

Solve each problem. Show your work. The diameter of a circle is 12 inches. Find the area of a sector of the circle with a central angle that measures 110∘. Use 3.14 for π.π. Round to the nearest hundredth.
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Demi-Leigh Barrera
Determine the value of the radius.
$r=\frac{d}{2}=\frac{12}{2}=6$
Determine the area of the sector.
$A=\frac{N}{360}\left(\pi {r}^{2}\right)$ Write the formula for area of a sector
$A=\frac{110}{360}\left(3.14\right)\left({6}^{2}\right)$ Substitute the values
$A=\frac{11}{360}\left(3.14\right)\left(36\right)$ Evaluate the exponent
$A=\frac{11}{36}\left(3.14\right)\left(36\right)$ Simplify the fraction
A ~ 34.54 Multiply the values.