A circle with a central <JKL that measures 125° has a diameter of 13 feet. What is the area of sector JKL?

Use 3.14 for , and round your answer to the nearest tenth.
A. 46.1 square feet
B. 52.5 square feet
C. 85.7 square feet
D. 92.1 square feet

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To find the area of a sector, we need to use the formula:

Area of Sector = (Central Angle / 360) * π * (Radius^2)

In this case, the central angle is given as 125°, and the diameter of the circle is 13 feet, which means the radius is half of the diameter, so the radius is 6.5 feet.

Plugging these values into the formula, we get:

Area of Sector = (125/360) * 3.14 * (6.5^2)

Simplifying further:

Area of Sector = (0.3472) * 3.14 * (42.25)

Area of Sector ≈ 46.14 square feet (rounded to the nearest tenth)

Therefore, the correct answer is A. 46.1 square feet.

(125/360) pi D^2/4