Thursday

July 31, 2014

July 31, 2014

Posted by **John** on Saturday, March 17, 2012 at 12:19pm.

-8pi/3

A sector of a circle has a central angle of 60°. Find the area of the sector if the radius of the circle is 3 mi.

- pre-calc -
**Steve**, Saturday, March 17, 2012 at 1:54pm-8pi/3 is coterminal with -8pi/3 ± 6pi/3

So, these are: -8pi/3 -2pi/3, 4pi/3 ... and we have a winner!

60° is 1/6 of 360°. So, the are is 1/6 of a whole circle, or 1/6 * pi * 3^2 = 3/2 pi

- pre-calc -
**Reiny**, Saturday, March 17, 2012 at 2:00pmadd 2π to -8π/3

to get -2π/3

add another 2π to get

4π/3

check by taking sin, cos and tan of both -8π/3 and 4π/3.

you should get the same result for each trig function.

(in degrees we started with -480

added 720° to get 240° which lies between 0 and 360)

**Related Questions**

Pre-Calc - 1. Determine the quadrant in which the terminal side of the angle is ...

trigonometry - please check my answers. 1.Find the area of the sector of a ...

precalculus - Find an angle between o and 2pi that is coterminal with the given ...

trig - given a central angle of 66 degrees find the area of a sector in a circle...

Math - Determine two coterminal angles (one positive and one negative) for the ...

Math - Determine two coterminal angles (one positive and one negative) for the ...

TRIG HELP ASAP - I really need help on this problem. A sector has area of 15 in^...

trig - In a circle of radius 12 inches, a sector is formed by a central angle of...

Trig - Find the area of a sector with the given central angle θ in a circle...

Pre Calculus - Find the measure of the central angle, in radians, given the area...