Consider the circle.

20 ft

(4 points)

Use 3.14 for π
and do not round each answer.

Diameter =
feet

Circumference =
feet

Radius =
feet

Area =
square feet

1 answer

To analyze the circle with a diameter of 20 ft, we can use the following formulas:

  1. Diameter (D): Given as 20 ft.

  2. Radius (R): The radius is half of the diameter, so: \[ R = \frac{D}{2} = \frac{20 , \text{ft}}{2} = 10 , \text{ft} \]

  3. Circumference (C): The circumference of a circle is calculated using the formula: \[ C = \pi \times D \] Using \( \pi \approx 3.14 \): \[ C = 3.14 \times 20 , \text{ft} = 62.8 , \text{ft} \]

  4. Area (A): The area of a circle is calculated using the formula: \[ A = \pi \times R^2 \] Using \( R = 10 , \text{ft} \): \[ A = 3.14 \times (10 , \text{ft})^2 = 3.14 \times 100 , \text{ft}^2 = 314 , \text{square ft} \]

Now, let's summarize the results:

  • Diameter = 20 ft
  • Circumference = 62.8 ft
  • Radius = 10 ft
  • Area = 314 square ft