# The circumference of a circle is #11pi# inches. What is the area, in square inches, of the circle?

By signing up, you agree to our Terms of Service and Privacy Policy

The circumference of a circle having radius

Hence, by what is given,

By signing up, you agree to our Terms of Service and Privacy Policy

By signing up, you agree to our Terms of Service and Privacy Policy

To find the area of the circle, we'll first need to find its radius. The formula to calculate the circumference of a circle is:

[ \text{Circumference} = 2\pi r ]

Given that the circumference of the circle is (11\pi) inches, we can set up the equation:

[ 11\pi = 2\pi r ]

Solving for (r):

[ r = \frac{11\pi}{2\pi} = \frac{11}{2} ]

Now that we have the radius ((r = \frac{11}{2})), we can use the formula to calculate the area of the circle:

[ \text{Area} = \pi r^2 ]

Substituting the value of (r):

[ \text{Area} = \pi \left(\frac{11}{2}\right)^2 ]

[ \text{Area} = \pi \times \frac{121}{4} ]

[ \text{Area} = \frac{121\pi}{4} ]

Therefore, the area of the circle is ( \frac{121\pi}{4} ) square inches.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #2 #, its base has sides of length #1 #, and its base has a corner with an angle of #(2 pi)/3 #. What is the pyramid's surface area?
- An ellipsoid has radii with lengths of #9 #, #8 #, and #10 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
- What is the area of a triangle whose vertices are GC-1, 2), H(5, 2), and K(8, 3)?
- A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #2 # and #7 # and the pyramid's height is #7 #. If one of the base's corners has an angle of #(5pi)/6#, what is the pyramid's surface area?
- The area of a circle is 16pi. What is the circumference of the circle?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7