Posted by **Tabitha** on Friday, January 14, 2011 at 1:06pm.

Find the area of a sector of a circle with a radius of 3 m and a central angle of 125degrees.

- Math/Trig -
**helper**, Friday, January 14, 2011 at 3:26pm
Area K = 1/2 r^2 * angle in rads

Convert deg to rads

125 deg * pi/180 = 25pi/36 rads

K = 1/2 * 3^2 * 25pi/36

K = ? m^2

you do the math

Area K is expressed in m^2 (in this case)

- Math/Trig -
**Reiny**, Friday, January 14, 2011 at 3:50pm
area of whole circle = 9π

area of sector = (125/360)(9π) = appr. 9.8 m^2

- Math/Trig -
**Bosnian**, Saturday, January 15, 2011 at 12:45am
Area of circle:

A=r^2*pi

Area of your sector=r^2*pi*(125/360)=3^2*pi*125/360=9*pi*125/360

=9*3.1415926535*125/360

=3534,2917351875/360

=9,8174770421875 m^2

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