Question

Circle A has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. The diameter of circle B is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches.
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Part A: Using the formula for circumference, solve for the value of pi for each circle.

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

Part C: What observation can you make about the value of pi for circles A and B?

Answer 1

Answer:

A is the correct answer

Part A)

circumference = PI * diameter

PI = circumference / diameter

PI = 21.98 / 7

PI = 3.14

PI = 18.84/6

PI = 3.14

Part B)

Area = PI * diameter^2 / 4

PI = 4 * Area / diam^2

PI = 4 * 38.465 / 7*7

PI = 153.86 / 49

PI = 3.14

Circle B

PI = 4 * Area / diam^2

PI = 4 * 28.26 / 6 * 6

PI = 113.04 / 36

PI = 3.14

Part C)

Conclusion - PI = 3.14 and is the same for both circles and is the same for EVERY circle.

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