Question

Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2

Answer 1

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer 2

The area of circle is 254.34 in².

Step-by-step Step-by-step explanation:

Given :

• 
  `\small\purple\bull` Diameter of circle = 18 in

To Find :

• 
  `\small\purple\bull` Radius of circle
• 
  `\small\purple\bull` Area of circle

Using Formulas :

`\star{\small{\underline{\boxed{\sf{\pink{R = (D)/(2)}}}}}}`

• 
  `\blue\star` R = radius
• 
  `\blue\star` D = diameter

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

• 
  `\blue\star` π = 3.14
• 
  `\blue\star` r = radius

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

`\implies{\sf{Radius = (D)/(2)}}`

`\implies{\sf{Radius = (18)/(2)}}`

`\implies{\sf{Radius = \cancel{(18)/(2)}}}`

`\implies{\sf{Radius = 9 \: in}}`

`\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}`

Hence, the radius of circle is 9 in.

`\rule{200}2`

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

`\implies{\sf{Area_((Circle)) = \pi{r}^(2)}}`

`\implies{\sf{Area_((Circle)) = 3.14* {(9)}^(2)}}`

`\implies{\sf{Area_((Circle)) = 3.14* {(9 * 9)}}}`

`\implies{\sf{Area_((Circle)) = 3.14* (81)}}`

`\implies{\sf{Area_((Circle)) = (314)/(100) * 81}}`

`\implies{\sf{Area_((Circle)) = (314 * 81)/(100)}}`

`\implies{\sf{Area_((Circle)) = (25434)/(100)}}`

`\implies{\sf{Area_((Circle)) = 254.34 \: {in}^(2) }}`

`{\star{\underline{\boxed{\sf{\red{Area_((Circle)) = 254.34 \: {in}^(2)}}}}}}`

Hence, the area of circle is 254.34 in².

`\rule{300}{1.5}`