Questions: Calculating circumference and Area of Circles Julian Ca: (2) What is the circumference of circle S? What is the area of circle S? Use 3.14 as π. Circumference of Circle S Diagram Label, Value, Units TS, 39, feet TR, 78, feet , , feet , , square feet

Calculating circumference and Area of Circles
Julian Ca: (2)
What is the circumference of circle S? What is the area of circle S? Use 3.14 as π.

Circumference of Circle S

Diagram Label, Value, Units

TS, 39, feet

TR, 78, feet

, , feet

, , square feet
Transcript text: Calculating circumference and Area of Circles Julian Ca: $\quad(2)$ What is the circumference of circle S? What is the area of circle S? Use 3.14 as an $\pi$. Circumference of Circle S \begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} Diagram \\ Label \end{tabular} & Value & Units \\ \hline TS & 39 & feet \\ \hline TR & 78 & feet \\ \hline & & feet \\ \hline & & square feet \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify the given values
  • The diameter of Circle S (TR) is given as 78 feet.
  • The radius of Circle S (TS) is given as 39 feet.
Step 2: Calculate the circumference of Circle S
  • The formula for the circumference of a circle is \( C = \pi \times d \), where \( d \) is the diameter.
  • Using \( \pi = 3.14 \) and \( d = 78 \) feet: \[ C = 3.14 \times 78 = 244.92 \text{ feet} \]
Step 3: Calculate the area of Circle S
  • The formula for the area of a circle is \( A = \pi \times r^2 \), where \( r \) is the radius.
  • Using \( \pi = 3.14 \) and \( r = 39 \) feet: \[ A = 3.14 \times 39^2 = 3.14 \times 1521 = 4775.94 \text{ square feet} \]

Final Answer

  • Circumference of Circle S: 244.92 feet
  • Area of Circle S: 4775.94 square feet
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