the area in a circle of each shaded region is given. Find x

The given is 66 the angle is 180

We do not have access to your diagram to help you. What is "66"?

To find the value of x in the given problem, we will need to use the formula for the area of a sector in a circle.

The formula for the area of a sector in a circle is:

Area = (angle/360) * π * r^2

In this case, we are given the area of the shaded region as 66 and the angle as 180 degrees. We need to find the value of x, which represents the radius of the circle.

Let's set up the equation using the given information:

66 = (180/360) * π * x^2

To solve for x, we will manipulate the equation:

(180/360) * π * x^2 = 66

We can simplify this equation further by canceling out common factors:

(1/2) * π * x^2 = 66

Now, we can isolate x^2 by dividing both sides of the equation by (1/2) * π:

x^2 = 66 / [(1/2) * π]

Next, divide 66 by (1/2) * π to get the value of x^2:

x^2 ≈ 66 / 3.14

Now, find the square root of both sides of the equation to find the value of x:

x ≈ √(66 / 3.14)

Using a calculator, we can evaluate the square root of (66 / 3.14) to find the approximate value of x.