Find the radius of a circular sector with an arc length 26 feet and a central angle $\frac { 3 \pi } { 2 }$ radians. Round your answer to two decimal places.
A) 5.52 feet
B) 12.41 feet
C) 3.40 feet
D) 0.18 foot
E) 0.08 foot

Question

Quizplus · Accepted Answer

The formula to find the radius (r) when you have the arc length (L) and the central angle in radians ($\theta$) is $L = r\theta$. Rearranging for r gives $r = \frac{L}{\theta}$. Substituting the given values, $r = \frac{26}{\frac{3\pi}{2}} = \frac{26}{1.5\pi} \approx 5.52$ feet.

Find the Radius of a Circular Sector with an Arc 3π2\frac { 3 \pi } { 2 }23π​

Find the Radius of a Circular Sector with an Arc $\frac { 3 \pi } { 2 }$