Question

The area of a circle is 0.2826 square inches. What is the circle's diameter?

Use 3.14 for .
Submit
inches

Answer 1

0.6 inches

Explanation:

The equation to find the area of a circle is:

`{a} = \pi {r}^(2)`

however the problem requires you replace π with 3.14.

Using inverse operations you can find the variable r.

Step 1:

Plug in variables.

`0.2826 = 3.14{r}^(2)`

Step 2:

Solve for r.

`0.2826 / 3.14 = 3.14 / 3.14 * {r}^(2) \\ √(0.09) = \sqrt{ {r}^(2) } \\ r = 0.3`

Step 3:

Find diameter from radius.

`0.3 * 2 = 0.6`

The diameter of the circle is 0.6 inches.