A circle with a diameter of 20 ft has an area closest to which value?

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Multiple Choice

A circle with a diameter of 20 ft has an area closest to which value?

Explanation:
Area of a circle is π times the radius squared. With a diameter of 20 ft, the radius is 10 ft. So the area is A = π × 10^2 = 100π ≈ 314.16 square feet. The value closest to the actual area is about 314 square feet. For reference, 100 would come from a smaller radius (about 5.64 ft), 157 from a radius around 7.07 ft, and 628 from a radius around 14.14 ft, none of which match the given diameter as closely as 314 does.

Area of a circle is π times the radius squared. With a diameter of 20 ft, the radius is 10 ft. So the area is A = π × 10^2 = 100π ≈ 314.16 square feet. The value closest to the actual area is about 314 square feet. For reference, 100 would come from a smaller radius (about 5.64 ft), 157 from a radius around 7.07 ft, and 628 from a radius around 14.14 ft, none of which match the given diameter as closely as 314 does.

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