Question

The radius of a circle is 6 inches. What is the circle's area?
Use 3.14 for ​.

Answer 1

A = 113.04 in²

Explanation:

To calculate the area of a circle, we will use the formula

`\bold{A=\pi r^2}`,

where A is the area, π is 3.14 and r is the radius.

Here's a diagram for better understanding:

`\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 6\ in}\end{picture}`

Now we can substitute the values :

A = 3.14 × 6²

A = 3.14 × 36

A = 113.04 in²

*Keep in mind that we always measure area in units squared.

`\therefore` The circle's area is 113.04 in²

Answer 2

113.04 inches squared.

pi (3.14) x radius squared

3.14 x 6 squared

3.14 x 36

113.04