Acircle with area 100 pi has a sector with a central angle of 2/5 pi radians. what is the area of the sector?

we know that

2pi radians (full circle)  has an area of> 100pi

then

(2pi/5) radians> X

X=(2pi/5)*100pi/2pi> 20pi units²

the answer is

20pi units²

$450 i think. hope this ☺

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)