The design shown above was painted on a new basketball court, where the diameter of the circle shown is 12 feet. Which of the following is the area enclosed by the design?

This choice incorrectly attempts to calculate the area of the circle by using the formula for the area of a sector rather than the entire circle. The term (6^2)/2 π suggests a misunderstanding of how to properly apply the area formula for circles, which should be πr².

While this choice correctly identifies the area of the rectangle as (12)(15), it incorrectly uses 6 instead of the correct radius for the area of the circle. The diameter is given as 12 feet, which means the radius should be 6 feet. However, this calculation does not account for the correct structure needed in the overall area formula.

This option mistakenly uses the diameter of the circle instead of the radius in the area calculation. The area of the circle should use the formula πr², where r is 6 feet. The inclusion of 12 π does not represent the correct area and misrepresents the relationship between the circle's size and its radius.