Question

What is the area of this circle? Use 3.14 for π

Question 7 options:

530.66 cm squared


81.64 cm squared


2122.64 cm squared


849.56 cm squared

Answer 1

530.66 cm squared

Step-by-step Explanation:

Diameter of the circle = 26 cm

Radius of the circle (r) = 26/2 = 13 cm

`A_(circle) = \pi {r}^(2) \\ \\ A_(circle) = 3.14 * {(13)}^(2) \\ \\ A_(circle) = 3.14 * 169 \\ \\ A_(circle) =530.66 \: {cm}^(2)`

Answer 2

The area of 530.66 cm squared.

Option (a) 530.66 cm² is the correct answer.

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

Given :

• Diameter of circle = 26 cm.

To Find :

• Radius of circle
• Area of circle

Using Formulas :

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

• R = Radius
• D = Diameter

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

• π = 3.14
• r = radius

Solution :

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

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

`{\longrightarrow{\sf{Radius = (26)/(2)}}}`

`{\longrightarrow{\sf{Radius = \cancel{(26)/(2)}}}}`

`{\longrightarrow{\sf{Radius = 13}}}`

`\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}`

Hence, the radius of circle is 13 cm.

`\rule{200}2`

Now, finding the area of circle by substituting the values in the formula :

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

`{\longrightarrow{\sf{Area_((Circle)) = 3.14 * {(13)}^(2)}}}`

`{\longrightarrow{\sf{Area_((Circle)) = (314)/(100) * {(13 * 13)}}}}`

`{\longrightarrow{\sf{Area_((Circle)) = (314)/(100) * 169}}}`

`{\longrightarrow{\sf{Area_((Circle)) = (314 * 169)/(100)}}}`

`{\longrightarrow{\sf{Area_((Circle)) = (53066)/(100)}}}`

`{\longrightarrow{\sf{Area_((Circle)) = 530.66}}}`

`\star{\small{\underline{\boxed{\sf{\red{Area_((Circle)) = 530.66 \: {cm}^(2)}}}}}}`

Hence, the area of circle is 530.66 cm².

`\rule{300}{1.5}`