Circle L is shown. Line segments K L and M L are radii. The length of K L is 9. Angle M L K is 120 degrees. Sector M L K with a 120 degree angle is shaded.

What is the area of the shaded sector of the circle?

9Pi units squared
27Pi units squared
81Pi units squared
162Pi units squared

The area of the shaded sector of the circle is 27 units squared, if the line segments KL and ML are radii, the length of KL is 9 units and MLK is 120 degrees.

Step-by-step explanation:

The given is,

                 K L and M L are radii

                 Length of K L is 9

                 Angle M L K is 120 degrees

    In the given question diagram is missing, so we attach the diagram.

Step:1

              The shaded area of sector in the circle is of circle area.

                             ( Three times of 120° equal to 360°)

              Formula for area of circle,

                                           .........................................(1)

               From the ratio and area of circle formula for shaded sector is,

                                        .........................(2)

              Where, r - radius of circle

              From the given,

                              r = 9 units

              Equation (2) becomes,

                                                            = 27

                                        Units squared

Result:

             The area of the shaded sector of the circle is 27 units squared, if the line segments KL and ML are radii, the length of KL is 9 units and MLK is 120 degrees.  

560

step-by-step explanation:

giggidy

c

step-by-step explanation: easy math