Question

What is the area of the circle whose diameter is 16 ft?

201.1 sq ft
802.2 sq ft
50.3 sq ft

Answer 1

The area of the circle with a diameter of 16 ft is (Option A) 201.1 sq ft.

Step-by-step explanation:

The area of a circle can be found using the formula A = πr², where A is the area and r is the radius. However, in this case, we are given the diameter instead of the radius. The diameter is twice the length of the radius, so we can calculate the radius by dividing the diameter by 2. Given that the diameter of the circle is 16 ft, the radius would be 16/2 = 8 ft.

Now, we can use the formula A = πr² to find the area. Plugging in the radius value, we get A = π(8 ft)² = π(64 ft²) ≈ 201.1 sq ft.

Answer 2

Step-by-step explanation:

The area of a circle is

`A=\pi r^2`

We are given the diameter, but need the radius. The radius is half the diameter, so the radius is 8 feet. Plugging into the formula and using 3.14 for π:

A = (3.14)(64) so

A = 200.96 sq feet which rounds to 201. I guess that's the first choice there, but not quite exact...