Question

question 4 0/2 pts 3 99 details
find the area of a sector of a circle with radius 12 inches subtended by a central angle of 315°. answer exactly in terms of pi.
square inches
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Explanation:

Step1: Recall the formula for the area of a sector

The formula for the area of a sector of a circle is \( A=\frac{\theta}{360^{\circ}}\times\pi r^{2}\), where \(\theta\) is the central angle and \(r\) is the radius.

Step2: Substitute the given values into the formula

Given \(r = 12\) inches and \(\theta=315^{\circ}\).

$$
LATEXBLOCK0
$$

Step3: Simplify the expression

$$
LATEXBLOCK1
$$

Answer:

\(126\pi\) square inches