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6 votes
Diagram LabelValueUnitsRadius of the Pool Cover9feetDiameter of the Pool Cover18feetCircumference of the Pool CoverfeetArea of the Pool Coversquare feet

User Pontomedon
by
2.5k points

2 Answers

20 votes
20 votes

The circumference and Area values of the pool are 56.52 feets and 254.34 ft² respectively.

Using the parameters given for our Calculation:

  • Radius = 9 feets
  • Diameter = 18 feets

A.)

Using the circumference of. circle formula;

  • circumference = 2πr

Inputting the parameters into our formula

Circumference = 2 × π × 9

Hence, the circumference is 56.52 ft

B.)

The Area of a circle formula ; .

  • Area = 2πr²

Inputting the values into the relation ;

Area = 2 × π × 9²

Area = 254.34 ft²

Hence, the Area of the pool is 254.34 ft²

User LukasNeugebauer
by
3.1k points
21 votes
21 votes

Step1: Write out the given parameters


\begin{gathered} \text{Diameter}=18\text{feet} \\ \text{Radius}=(diameter)/(2)=(18)/(2)=9feet \end{gathered}

We are to find the area of the pool cover and it circumference

Step2: write out the formula


\begin{gathered} \text{Area of pool cover=}\pi r^2 \\ \text{where }\pi=3.14 \end{gathered}
\text{Area of pool cover=3.14}*9^2=254.34square\text{ f}eet

Hence the area of the pool cover is 254.34 square feet

The circumference of the pool cover is given by


\begin{gathered} 2\pi r \\ 2*3.14*9 \\ 56.52 \end{gathered}

Therefore the circumference of the pool cover is 56.52 feet

User Angelo Angeles
by
3.0k points