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 \\(\boxed{}\\) radians.

Explanation:

Step1: Identify given values

Radius $r=12$ cm, arc length $s=21$ cm

Step2: Substitute into radian formula

$\theta = \frac{s}{r} = \frac{21}{12}$

Step3: Simplify the fraction

$\frac{21}{12} = \frac{7}{4} = 1.75$

Answer:

1.75 or $\frac{7}{4}$ radians