Question

Could someone please help me? My future's on the line!'

Answer 1

The angle measured is 1.72 radians

Solution:

Given that radius is 9 units and arc length is 15.5 units

To find: angle, $\theta$ , in radians

The length of arc when angle in radians is given as:

$s = r \times \theta$

Where, "r" is the radius and "s" is the arc length

$\theta$ is central angle measured in radians

Substituting r = 9 and s = 15.5 in above formula,

$15.5 = 9 \times \theta\\\\\theta = \frac{15.5}{9}\\\\\theta = 1.72$

Thus the angle measured is 1.72 radians