Question

use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm.

\\( \theta = \frac { s } { r } \\).

the angle has a measure of radians.

Explanation:

Step1: Identify the values of \(s\) and \(r\)

Given \(s = 21\) cm (arc length) and \(r=12\) cm (radius).

Step2: Substitute into the formula \(\theta=\frac{s}{r}\)

\(\theta=\frac{21}{12}\)

Step3: Simplify the fraction

\(\theta=\frac{7}{4}=1.75\)

Answer:

\(1.75\)