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A circle has a sector with area 4/3 pie and central angle of 120. What is the a

Algebra
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A circle has a sector with area 4/3 pie and central angle of 120.  What is the a

Mar 17th, 2015

Area of the sector = 4/3 π

θ = 120 degree

As we know that

Area of the sector  = θ/360 * π r^2

Now Putting the values. we get

4/3 π = 120/360 * π r^2

4/3 π = 1/3 * π r^2

4/3 π / π = 1/3 * r^2

4/3 = 1/3 * r^2

Multiply by 3 on both sides, we get

3 * 4/3 = r^2

4 = r^2

√r^2 = √4

r = 2 unit

Now area of the circle is 

Area of the circle = π r^2

                            = (3.14) (2)^2

                           = (3.14) (4)

                           = 12.56

                          Or by rounding of, we get

         Area of the circle  =  13 square units

Mar 17th, 2015

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