a.) How much greater is the area of a square with a side length of 7 inches than

Question

a.) How much greater is the area of a square with a side length of 7 inches than the area of a circle with a radius of 4 inches?

b.) How much greater is the area of a circle with a radius of 7.5 inches than the area of a square with a side length of 4.4 inches?

c.) Suppose the area of a circle with radius r is larger than the area of a square with side length l . Define a formula that expresses D, how much greater the area of a circle with radius r is than the area of a square with side length l , in terms of r and l . (That is, write a formula that expresses D in terms of r and l .)

Explanation / Answer

Area of square=side^2=7^2=49

Area of circle=pi r^2=50.27

Difference is 49-50.27=-1.27

b. area of circle=pi r^2= 176.7

area of square=side^2=4.4^2=19.36

difference=157.34

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