Find the area. Use 3.14 for pi and round your answer
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Answer:
329.9 ft^2
Step-by-step explanation:
area = π · r^2
diameter = 2r so radius = 10.25
area = 3.14 · 10.25^2
10.25^2 = 105.06
3.14 · 105.06 = 329.9 ft^2
Given :-
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To find :-
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Solution:
To find area first we should know value of radius.
Diameter is given , and from diameter we can find value of radius.
[tex] \\ [/tex]
We know :-
[tex] \bf \ddag\boxed{\rm Diameter =2 \: radius } \bf \ddag[/tex]
By using this formula we can find radius.
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf Diameter =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf 20.5 =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \dfrac{205}{10} =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \cancel\dfrac{205}{10} =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \dfrac{41}{2} =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf2 \: radius = \dfrac{41}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \: radius = \dfrac{41}{2 \times 2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \: radius = \dfrac{41}{4} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\bf \: radius = 10.25[/tex]
[tex] \\ \\ [/tex]
Now let's find Area
we know :-
[tex] \bf \ddag\boxed{\rm Area = \pi radius {}^{2} } \bf \ddag[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi radius {}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi (10.5) {}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi \times 10.5 \times 10.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi \times 110.25 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = 3.14 \times 110.25 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \bf Area =346.19~ {ft}^{2} \{approx\}\\[/tex]