Question

A circle has radius 2.5 m. What angle is subtended at the center of the circle by an arc 3 m long? (Round your answer to one decimal place.)

Answer 1

Recall, The arc length [s] of a section of a circle is equal to the circles radius [r] times the central angle [theta] that the arc subtends. in radians.

$s=r* \theta$

r = 2.5 m.
s = 3 m.

$3=2.5* \theta$
$\theta = 1.2 ~rad$