Question

Please help i need the answer quick

Answer 1

`{\boxed{\sf{A = 490.63}}} \: \sf{yd}^(2)`

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

In this question we have provided that the diameter of circle. So, finding the radius of circle :

`\: \: \longrightarrow{\tt{R= (D)/(2)}}`

• R = Radius
• D = Diameter

`\: \: \longrightarrow{\tt{R= (25)/(2)}}`

`\: \: \longrightarrow{\tt{R= \cancel{(25)/(2)}}}`

`\: \: \longrightarrow{\tt{R= 12.5}}`

Hence, the radius of circle is 12.5 yd.

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

`\: \: \longrightarrow\tt{A = \pi{r}^(2)}`

• A = Area
• π = 3.14
• r = radius

`\: \: \longrightarrow\tt{A = 3.14{(12.5)}^(2)}`

`\: \: \longrightarrow\tt{A = 3.14{(12.5 * 12.5)}}`

`\: \: \longrightarrow\tt{A = 3.14{(156.25)}}`

`\: \: \longrightarrow\tt{A = 3.14 * 156.25}`

`\: \: \longrightarrow\tt{A = 490.63}`

Hence, the area of circle is 490.63 yd².

`\rule{200}{2.5}`