Question

Your new cake recipe is for an 8-inch-by-8-inch square pan. You have a round pan you can use if it has the same area as the square pan. What should be the diameter of the round pan? Use 3.14 to approximate pi. Round your answer to the nearest tenth.

Answer 1

9.0

Explanation:

64 in.2 area ÷ 3.14 ≈ 20 in.2 radius, then the radius ≈ square root of 20, or 4.5 inches. The diameter of the round pan must be twice the radius, or 9.0 inches.

Answer 2

9.0 inches

Explanation:

Area of square pan should be equal to area of circle pan

Area of square is 8 * 8 = 64

Area of Circle is
`\pi r^2`

Using 3.14 as
`\pi` and given that area must be 64, we solve for 4:

`A=\pi r^2\\64=(3.14)r^2\\r^2=(64)/(3.14)\\r^2=20.38\\r=√(20.38) \\r=4.51`

We know diameter is twice of radius, so diameter is
`d=2r=2(4.51)=9.02`

Hence, diameter should be 9.0 inches (rounded to nearest tenth)