# How to find arc length and sector area in radians

Monday, September 28, 2015

Finding arc length and sector area using radians

0:00 Review of converting degrees to radians and radians to degrees

0:43 200 degrees is how many radians

0:55 315 degrees is how many radians?

2:05 Radian measure of 3Pi/2 is equal to how many degrees?

2:25 Radian measure 2Pi/15 is how many degrees?

3:00 Review of the arc length formulas

3:32 360 degrees = _____ radians

4:12 Review of formula for finding arc length

4:28 Problem 1 Find the length of the intercepted arc of a circle with radius 12 and arc length in radians of 2Pi/3.

5:00 Problem 2 Find the length of the intercepted arc of a circle with radius 9 and arc length in radians of 11Pi/12.

5:55 Find the central angle in radians

6:32 Find central angle of a circle with radius 100 and arc length is 310.

7:06 Finding sector area in degrees

8:00 Find sector area of a circle with radius of 12 and central angle measure of 2pi/3.

8:20 Find sector area of a circle with a radius of 9inches and central angle of 11pi/12

10:40 Find the radius of a circle.

11:10 Find the radius of a circle with a arc length of 150m^2 and a central angle measure of 3pi/4

13:10 A circle has a sector area of 175 inches^2 and a theta of 5pi/6. What is the radius?

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