If the Radius of Bottom Circle: is 58 ft

Question

What is the Diameter of Bottom Circle:
What is the Area of Bottom Circle:
What is the Circumference of Bottom Circle:

Then Show your work below:
Diameter equation:
Area equation:
Circumference equation:

Answer 1

Given the radius of the bottom circle is 58 ft:

Calculations:

1. Diameter of Bottom Circle: The diameter (d) is twice the radius (r). \[ d = 2r \] \[ d = 2 \times 58 , \text{ft} = 116 , \text{ft} \]

2. Area of Bottom Circle: The area (A) of a circle is calculated using the formula: \[ A = \pi r^2 \] \[ A = \pi \times (58 , \text{ft})^2 \approx 3.14159 \times 3364 , \text{ft}^2 \approx 10563.84 , \text{ft}^2 \]

3. Circumference of Bottom Circle: The circumference (C) is given by the formula: \[ C = 2\pi r \] \[ C = 2 \pi \times 58 , \text{ft} \approx 2 \times 3.14159 \times 58 , \text{ft} \approx 364.42 , \text{ft} \]

Summary:

• Diameter: 116 ft
• Area: \( \approx 10563.84 , \text{ft}^2 \)
• Circumference: \( \approx 364.42 , \text{ft} \)

Equations Used:

• Diameter Equation: \[ d = 2r \]

• Area Equation: \[ A = \pi r^2 \]

• Circumference Equation: \[ C = 2\pi r \]