Question

consider circle c with angle acb measuring \\(\frac{3\pi}{4}\\) radians. if minor arc ab measures \\(9\pi\\) inches, what is the length of the radius of circle c? if necessary, round your answer to the nearest inch.

6 inches
12 inches
18 inches
24 inches

Explanation:

State the arc length formula

$$ s = r\theta $$

Substitute the given values

$$ 9\pi = r \cdot \frac{3\pi}{4} $$

Solve for the radius

$$ r = 9\pi \cdot \frac{4}{3\pi} = 12 $$

Answer:

• 6 inches
• 12 inches (Correct answer)
• 18 inches
• 24 inches