Final answer:
To cover a circular area with a radius of 7.35 feet, approximately 170 square feet of tarp would be needed, with the closest answer choice being 169.72 square feet (option C).
Step-by-step explanation:
The question asks for the area of a circle, which can be calculated using the formula A = πr², where A is the area and r is the radius of the circle. For a circle with a radius of 7.35 feet, the area in square feet would be:
A = π * (7.35 feet)²
A = 3.1415927 * (7.35 feet)²
A = 3.1415927 * 54.0225 ft²
A = 169.646545775 ft²
However, as the radius given has only three significant figures, the calculated area should also be represented with three significant figures:
A = 170 ft² (rounded to the nearest whole number).
So the correct choice would be approximately between option C and option D, but if we have to choose one from the given options, the closest is option C, which is 169.72 square feet.