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.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 circlePart C: What observation can you make about the value of pi for circles A and B?
asked Jun 10, 2015 in Word Problem Answers by Cj

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3 Answers

A. The circumference is (pi)d where d is the diameter. So (pi) for circle A is 21.98/7=3.14 and for B is 18.84/6=3.14.

B. Area is (pi)r^2 where r=radius or d/2. So for circle A (pi)=38.465/(3.5)^2=3.14 and circle B (pi)=28.26/(3)^2=3.14.

C. To two places of decimals (pi) has a value of 3.14 in all cases. This indicates or implies that (pi) is a universal constant applying to all circles using the formulae.

answered Jun 11, 2015 by Rod Top Rated User (494,340 points)

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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