Question

A circular table has a circumference of 99 99​ inches. What is the area of the table? If needed, use an approximation for π​​ and round your answer to one decimal place.

Answer 1

To find the area of the table, we use the formula A = πr^2, where r is the radius. We can find the radius by using the formula for the circumference of a circle, C = 2πr. Using the given circumference of 99 inches, we find that the radius is 99/(2π). Substituting this value into the area formula, we get an approximate area of 490.9 square inches.

Step-by-step explanation:

To find the area of a circular table, we need to use the formula A = πr^2, where A is the area and r is the radius. Since we know the circumference, we can use the formula C = 2πr to find the value of r.

We can rearrange this formula to solve for r: r = C/2π. Plugging in the given circumference of 99 inches, we get r = 99/(2π).

Now that we have the value of r, we can substitute it into the area formula to find the area of the table: A = π(99/(2π))^2. Simplifying this expression, we get A ≈ 490.9 square inches. Therefore, the area of the circular table is approximately 490.9 square inches.