A conical tent made of canvas has a base that is 20 feet across and a slant height of 14 feet. To the nearest whole unit, what is the area of the canvas, including the floor? Use 3.14 for pi.

A. 754 ft^2
B. 1,193 ft^2
C. 2,135 ft^2
D. 534 ft^2
This question stumps me...please help

I think the answer is A

I can't figure this out

To find the area of the canvas, including the floor, we need to calculate the lateral area of the conical tent (excluding the base) and add it to the area of the base.

The lateral area of a cone can be calculated using the formula:
Lateral Area = π * r * slant height

First, we need to find the radius (r) of the base. The diameter of the base is given as 20 feet, so the radius is half of that, which is 10 feet.

Next, we substitute the values into the formula and calculate the lateral area:
Lateral Area = 3.14 * 10 * 14 ≈ 439.6 ft^2

The base of the cone is a circle, and the area of a circle can be calculated using the formula:
Area = π * r^2

Substituting the radius (10 feet) into the formula, we can calculate the area of the base:
Area of Base = 3.14 * 10^2 = 3.14 * 100 = 314 ft^2

Finally, we add the lateral area and the area of the base to get the total canvas area:
Total Canvas Area = Lateral Area + Area of Base
Total Canvas Area ≈ 439.6 ft^2 + 314 ft^2 ≈ 753.6 ft^2

Rounding the answer to the nearest whole unit, the area of the canvas, including the floor, is approximately 754 ft^2.

Therefore, the correct answer is Option A: 754 ft^2.