Question

Find the area of the circle. Round your answer the nearest whole number, if necessary.

area: about
in.2

Answer 1

The area of circle is 314 in².

Step-by-step explanation:

Given :

• Radius of circle = 10 in.

To Find :

• Area of circle

Using Formula :

`\star{\small{\underline{\boxed{\sf{\red{Area_((Circle)) = \pi{r}^(2)}}}}}}`

• π = 3.14
• r = radius

Solution :

Finding the area of circle by substituting the values in the formula :

`\begin{gathered} \qquad\dashrightarrow{\small{\sf{Area_((Circle)) = \pi{r}^(2)}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_((Circle)) = 3.14 * {(10)}^(2)}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_((Circle)) = 3.14 * {(10 * 10)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_((Circle)) = 3.14 * {(100)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_((Circle)) = 3.14 * 100}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_((Circle)) = (314)/(100) * 100}}} \\ \\\qquad\dashrightarrow{\small{\sf{Area_((Circle)) = \frac{314}{\cancel{100}} * \cancel{100}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_((Circle)) = 314 \: {in}^(2)}}} \\ \\ \qquad\star{\small{\underline{\boxed{\sf{\pink{Area_((Circle)) = 314 \: {in}^(2)}}}}}}\end{gathered}`

Hence, the area of circle is 314 cm².

`\underline{\rule{220pt}{3.5pt}}`

Answer 2

Area = 314 in.²

Explanation:

Radius of the circle = 10 in.

Formula for area of a circle = πr²

Radius (r) = 10 in.

Plug in the value of r into the formula

Area = π*10²

Area = π*100

Area = 314.159

Area = 314 in.² (nearest whole number)