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In circle L, with \( m\angle KLM = 66^\circ \) and \( KL = 9 \) units, find the area of sector \( KLM \).

Round to the nearest hundredth.

Answer :

The area of the sector KLM is approximately 46.67 square units

Finding area of sector KLM.

The area of a sector in a circle can be calculated using the formula:

Area of sector = (central angle/360) x pi x r^2

where r is the radius of the circle.

Substituting into the formula for the area of a sector:

Area of sector = (66/360) x 22/7 x (9)^2

Evaluate

Area of sector = 46.67 square units

Therefore, the area of sector KLM is approximately 46.67 square units square units when rounded to the nearest hundredth.

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