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klemol [59]
3 years ago
15

Scott wants to buy fencing to place around a circular rock garden. The diameter of the circle is 16 feet. Using 3.14 for π, Calc

ulate the amount of fencing Scott will need to buy?
Explain your answer and how you found it in a complete sentence.
Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Amount of fencing Scott will need to buy for the circular rock garden we need to find circumference of circular garden i.e. 50.24feet .

<u>Step-by-step explanation:</u>

Here we have, Scott wants to buy fencing to place around a circular rock garden. The diameter of the circle is 16 feet. Using 3.14 for π. In order to calculate amount of fencing Scott will need to buy for the circular rock garden we need to find circumference of circular garden .

Circumference of circle = 2\pi r

⇒ Circumference of circle = 2\pi r

⇒ Circumference of circle = 2(3.14)(\frac{Diameter}{2} )

⇒ Circumference of circle = 2(3.14)(\frac{16}{2} )

⇒ Circumference of circle = 3.14(16)

⇒ Circumference of circle = 50.24feet

Therefore, Amount of fencing Scott will need to buy for the circular rock garden we need to find circumference of circular garden i.e. 50.24feet .

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Step-by-step explanation:

In the question we are given ,

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\longmapsto \:  \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}

<u>Step </u><u>2</u><u> </u><u>:</u> Substituting value of radius which is 5 cm in the formula :

\longmapsto \: (5) {}^{2}  \times h = 225

\longmapsto \: 25h = 225

<u>Step </u><u>3 </u><u>:</u> Transposing 25 to right hand side :

\longmapsto \: h =  \frac{225}{25}

<u>Step </u><u>4</u><u> </u><u>:</u> Cancelling 225 by 25 :

\longmapsto \:   \red{\boxed{h = 9 \: cm}}

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