find the shaded area in the circle with a rectangle ( 3 x 4 ft dimension) inside the circle.

I don't understand how to figure out the shaded area which is all the space between the circle and the rectangle?

subtract pi r^2 from 12

excuse me, subtract 12 from pi r^2

I missed that the rectangle is inside, not outside

f by 5ftind area of shaded rectangle to nrarest tenth. rectangle has circle in middle. the shaded area is 3ft

To find the shaded area, we need to calculate the areas of the circle and the rectangle separately, and then subtract the area of the rectangle from the area of the circle.

First, let's find the area of the circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. But we don't have the radius directly given to us, only the dimensions of the rectangle.

To find the radius, we need to understand the relationship between the rectangle and the circle. Since the rectangle is inscribed within the circle, the diagonal of the rectangle is equal to the diameter of the circle.

The dimensions of the rectangle are given as 3 ft by 4 ft. We can use the Pythagorean theorem to find the diagonal:

d^2 = 3^2 + 4^2
d^2 = 9 + 16
d^2 = 25
d = 5 ft

Therefore, the diameter of the circle is 5 ft, and the radius is half of the diameter, so the radius is 5/2 = 2.5 ft.

Now that we have the radius, we can find the area of the circle:

A_circle = πr^2
A_circle = π(2.5)^2
A_circle = 6.25π square feet

Next, let's find the area of the rectangle. The formula for the area of a rectangle is A = length × width. In this case, the length is 4 ft and the width is 3 ft:

A_rectangle = 4 × 3
A_rectangle = 12 square feet

Finally, we can find the shaded area by subtracting the area of the rectangle from the area of the circle:

Shaded area = A_circle - A_rectangle
Shaded area = 6.25π - 12 square feet

Unfortunately, we cannot provide an exact numerical value for the shaded area without knowing the value of π. However, you can use an approximate value of π, such as 3.14, to calculate the approximate shaded area.