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. (4 points)

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

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

Step-by-step explanation:

Circle A: 7in Diameter with a circumference of 21.98 inches and an area of 38.465 square inches

Circle B: : 6in Diameter with a circumference of 18.84 inches and an area of 28.26 square inches

Part A: The formula for circumference is c=2pi(r). We then want to divide diameter by two to get radius while you plug in your other values. You would then get these two equations:

     1) 21.98=2pi(3.5)      2) 18.84=2pi(3)

     21.98/(3.5)2=pi          18.84/(3)2=pi

      pi=12.56                   pi= 12.56

Part B: The formula for Area is A=pi(r^2). Since we already have our radius we can plug in all the in all the information that we have to solve for pi. The equations should be:

       1) 38.465=pi(3.5^2)           2) 28.26=pi(3^2)

        38.465/(3.5^2)=pi             28.26/(3^2) =pi

              pi= 3.14                                pi= 3.14

Part C: The obserservation to be made is find the pi of the area of a circle is going to equal to pi=3.14.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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step-by-step explanation:

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