You are given a circle of radius 12. what is the segment area of an arc that is 90 degrees?

The segment area

Step-by-step explanation:

Area of the segment = ,where is the angle.

We can also say that is covered with one segment and we have total segments (quadrants),so area of the circle divided by will give us the segement area of the arc.

So area

So the area of the segment

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x