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Answer :
The area of sector KLM is approximately 24.0196 square units when rounded to two decimal places.
The area of sector KLM is to be found in circle L, which has a measure of 58 degrees and a length of 14.
The formula for determining the area of a sector is given below:Area of sector = (angle measure/360°) x πr²
The angle measure is 58°. The radius is half of the length of KL, which is 14 units. So, r = 14/2 = 7.Substituting the values in the formula,
Area of sector = (58/360) x π x 7²Area of sector = (0.1611) x (49π)Area of sector = 7.6379π
The final answer needs to be rounded off to two decimal places, which is achieved by multiplying it by 100, rounding to the nearest integer, and then dividing by 100.Area of sector ≈ 7.64 x π units²
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