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

36 pi units2
8 pi units2
4 pi units2
81 pi units2

Given:

Given that H is the center of the circle.

The radius of the circle is 9 units.

The measure of ∠JHG is 160°

We need to determine the area of the shaded sector of the circle.

Area of the shaded sector of the circle:

The area of the shaded sector of the circle can be determined using the formula,

Substituting and r = 9, we get;

Simplifying, we get;

Thus, the area of the shaded sector of the circle is 36π units²

Hence, Option A is the correct answer.

q: 92 degrees

hope i ^-^

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3