Question

Given a circle of radius 18.00 cm. An angle intercepts an arc of 24.0 cm. Determine the sector angle in radians, to the nearest hundredth

Answer 1

the arc length is found using the formula

\[l = r \theta\]

theta is the angle subtended, r = radius and l is the arc length

then

\[24 = 18\theta\]

\[\theta = 24/18 = 4/3 radians\]

Answer 2

so 1.33

Answer 3

oops then its 1.33 radians to the nearest hundredth