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MaRussiya [10]
2 years ago
13

Please help i need the answer quick

Mathematics
1 answer:
erica [24]2 years ago
5 0

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.

————————————————————————

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}

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