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

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).