An isosceles right triangle is inscribed in a circle. The hypotenuse of the triangle is the diameter of the circle. Write a function f in terms of x that represents the area of the shaded region. Leave your answer in terms of π.

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  f(x) = (π-2)x^2/4

Step-by-step explanation:

The area of the triangle is ...

  A = 1/2(x)(x) = (1/2)x^2

The hypotenuse of the triangle is x√2, so the radius of the circle is x/√2. That means the area of the semicircle is ...

  A = 1/2πr^2 = (π/2)(x/√2)^2 = (π/4)x^2

The shaded area is the difference between the semicircle area and the triangle area.

  f(x) = (π/4)x^2 -(1/2)x^2

  f(x) = (π-2)x^2/4

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|