Mathematics, 13.04.2020 09:20 alyssavwil7499

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

Answers: 3

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Answers

The area of the shaded sector of the circle is 27 $\pi$ 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 $\frac{1}{3}$ of circle area.

( Three times of 120° equal to 360°)

Formula for area of circle,

$A = \pi r^{2}$ .........................................(1)

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

$A_{Shaded sector} =\frac{ \pi r^{2} }{3}$ .........................(2)

Where, r - radius of circle

From the given,

r = 9 units

Equation (2) becomes,

$A_{Shaded sector} =\frac{ \pi( 9)^{2} }{3}$

$=\frac{ \pi 81}{3}$

= 27 $\pi$

$A_{Shaded sector} =27 \pi$ Units squared

Result:

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

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 d

Answer from: Quest

1. y=32. x=-13. n=-40

Answer from: Quest

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2 is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes. our only condition is that it passes through the point (-2,5)

A. write an equation of a line that passes through (-2, 5). b. how many different equations could y

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