The radius of a circle is 6 ft. Find its area in terms of piπ.

Question

I need helpp

Answer 1

radius = 6 feet

Area = pi(r^2) = pi(36) = exactly 36 pi square feet

= about 113.097 ft^2 rounded to 3 decimal places

= about 113.097/9 = 12.566 yd^2

1 square yard = 3^2 = 9 ft^2

Answer 2

The area of a circle depends on the length of its radius.

The relationship is given by the formula:

A = πr² (area is pi times the radius squared).

For the posted problem with radius 6:

A = π (6)² = 36π ft²

That is what is called an exact answer because pi is left in the result.

An approximate answer can be determined by substituting an approximation for π. Since the decimal approximation for π has infinitely many decimal places an approximate value for the area can be found to be as close as needed to the exact area.

Usual values used to approximate π:

π ≈ 3.14

π ≈ 22/7

π ≈ 3.1416

and so on...

A = 3.14(36) = 113.04 ft² is an approximation to the true area.

if you use a calculator that approximates π to many decimal places you will get an area like this:

A = 113.097335529 ft²

Here is a Desmos graph where you can drag a point to create circles with different lengths for the radius and display an exact area along with an approximate area.

desmos.com/calculator/0qjpqnjq2k