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

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

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up