## Related questions with answers

Question

If the perimeter of a sector is 4 times its radius, then the radian measure of the central angle of the sector is (A) 2. (B) 4.(C)2/π.(D)4/π.(E) impossible to determine without knowing the radius.

Solution

VerifiedStep 1

1 of 3Perimeter = $r+ r+ s$

Perimeter = $2r + r\theta$

Recall that a sector is in the shape of a pie piece, so the perimeter is equal to the straight edge length of the radius $r$, plus the straight edge length of the radius $r$, plus the curved length of the arc $s$. We also know that the arc length is related to the radius $r$ and angle $\theta$ by the following formula: $s = r\theta$.

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Precalculus: Graphical, Numerical, Algebraic

7th Edition•ISBN: 9780321356932Demana, Foley, Kennedy, Waits7,799 solutions

## More related questions

- prealgebra

1/4

- prealgebra

1/7