Question

question 29 of 44
what is the measure of θ?
circle diagram with 4 cm and 12 cm labels
a. 4 radians
b. 4π radians
c. 3 radians
d. 3π radians

Explanation:

Step1: Recall the arc length formula

The formula for arc length \( s \) is \( s = r\theta \), where \( r \) is the radius and \( \theta \) is the central angle in radians. Here, the radius \( r = 4 \) cm and the arc length \( s = 12 \) cm.

Step2: Solve for \( \theta \)

From \( s = r\theta \), we can rearrange to get \( \theta=\frac{s}{r} \). Substituting \( s = 12 \) and \( r = 4 \), we have \( \theta=\frac{12}{4}=3 \) radians.

Answer:

C. 3 radians