Question

Whats the formula for finding the radius of a circular sector given the angle and arc length?

Answer 1

\[Arc.Length = \frac{x}{36}\times 2 \pi r\]

Answer 2

\[L = 2\pi r \times \frac{\theta}{2\pi} = \theta r\]
So rearrange for r:
\[r = \frac{L}{\theta}\]
Of course this only applies if the angle is in radians, degrees can be converted easily.

Answer 3

arc length = radius * angle in radians
radius = arc length / angle in radians

Answer 4

if angle is in degrees
then radians = degrees * pi /180

Answer 5

okay so i do 15/(3pi/2) and i get 10pi but its wrong? what am i doing wrong?

Answer 6

what is the question exactly?

Answer 7

\[\frac{15}{\frac{3\pi}{2}} = \frac{30}{3\pi} = \frac{10}{\pi} \approx 3.183\]

Answer 8

thats correct