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


area: about
in.2

Find the area of the circle Round your answer the nearest whole number if necessary area about in2 class=

Respuesta :

Answer:

Area = 314 in.²

Step-by-step 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)

Answer:

The area of circle is 314 in².

Step-by-step explanation:

Given :

  • Radius of circle = 10 in.

To Find :

  • Area of circle

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]

  • π = 3.14
  • r = radius

Solution :

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

[tex] \begin{gathered} \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10)}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10 \times 10)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(100)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times 100}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 100}}} \\ \\\qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{\cancel{100}} \times \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}[/tex]

Hence, the area of circle is 314 cm².

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]