Question

Please help i need the answer quick

Answer 1

Answer:

${\boxed{\sf{A = 490.63}}} \: \sf{yd}^{2}$

Step-by-step explanation:

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

$\: \: \longrightarrow{\tt{R= \dfrac{D}{2}}}$

• R = Radius
• D = Diameter

$\: \: \longrightarrow{\tt{R= \dfrac{25}{2}}}$

$\: \: \longrightarrow{\tt{R= \cancel{\dfrac{25}{2}}}}$

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

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

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

$\: \: \longrightarrow\tt{A = 3.14{(12.5 \times 12.5)}}$

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

$\: \: \longrightarrow\tt{A = 3.14 \times 156.25}$

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

Hence, the area of circle is 490.63 yd².

$\rule{200}{2.5}$