Circle A has a circumference of 25.12 inches, and an area of 50.24 square inches. What is the diameter?

Question

Part A: Using the formula for circumference, solve for the diameter of the circle.

Part B: Use the formula for area and solve for the value for the diameter of the circle.

Answer 1

Part A:
Circumference = π * diameter
25.12 = π * diameter
diameter = 25.12 / π
diameter ≈ 8 inches

Part B:
Area = π * (diameter/2)^2
50.24 = π * (diameter/2)^2
50.24 = π * (diameter^2 / 4)
200.96 = π * diameter^2
diameter^2 = 200.96 / π
diameter = √(200.96 / π)
diameter ≈ √(64) ≈ 8 inches

The diameter of Circle A is approximately 8 inches.