Posted by **gion ** on Thursday, December 3, 2009 at 11:49am.

a circle with 4 inch radius, find length of arc when intercepted by central angle of 240 degrees

- pre calcalus -
**MathMate**, Thursday, December 3, 2009 at 5:45pm
r=radius

θ=central angle in radians

To convert degrees to radians, multiply the number of degrees by π and divide by 180°.

Arc length, l = rθ

Example:

θ = 90°

=90*π/180=π/2

r = 10 m

Length of arc

= rθ

= 10 * π/2

= 5π

= 15.7 m

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