A furniture store delivers without charge to any location within 100 mi of the store. About what is the area of this region?

A = pi * r^2

A = 3.14 * 100^2

A = 3.14 * 10,000

A = 31,400 square miles

To find the area of a region within a given radius, we can use the formula for the area of a circle, which is A = πr^2.

In this case, the radius is the maximum distance the furniture store delivers for free, which is 100 miles.

So, substituting the radius into the formula, we have:

A = π * (100)^2

A ≈ 31416 square miles

Therefore, the approximate area of the region where the furniture store delivers without charge is 31,416 square miles.

To determine the approximate area of the region within 100 miles of the furniture store, you can use the formula for the area of a circle.

The formula for the area of a circle is:

A = πr^2

In this case, the radius of the circle would be 100 miles, since the store delivers without charge to any location within 100 miles.

Now, let's calculate the area:

A = π(100)^2
A = 10000π

To get the approximate value, we can use the approximation π ≈ 3.14:

A ≈ 10000 * 3.14
A ≈ 31400 square miles

Therefore, the approximate area of the region within 100 miles of the furniture store is 31,400 square miles.