Question
Circle A has a a circumference of 25.12 inches, and an area of 50.24 square inches. What is the diameter?
Part A: Using the formula for circumference, solve for the diameter of the circle
Part A: Using the formula for circumference, solve for the diameter of the circle
Answers
GPT 3.5
Circumference of a circle = π * diameter
25.12 = π * diameter
diameter = 25.12 / π
diameter ≈ 8 inches
Therefore, the diameter of Circle A is approximately 8 inches.
25.12 = π * diameter
diameter = 25.12 / π
diameter ≈ 8 inches
Therefore, the diameter of Circle A is approximately 8 inches.
Circle A has a a circumference of 25.12 inches, and an area of 50.24 square inches. What is the diameter?
Part B: Use the formula for area and solve for the diameter of the circle
Part B: Use the formula for area and solve for the diameter of the circle
GPT 3.5
Area of a circle = π * (radius)^2
50.24 = π * (radius)^2
(radius)^2 = 50.24 / π
radius = √(50.24 / π)
radius ≈ √(16) ≈ 4 inches
Since diameter = 2 * radius, the diameter of Circle A is 2 * 4 = 8 inches.
50.24 = π * (radius)^2
(radius)^2 = 50.24 / π
radius = √(50.24 / π)
radius ≈ √(16) ≈ 4 inches
Since diameter = 2 * radius, the diameter of Circle A is 2 * 4 = 8 inches.
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