Question

A sector of a circle with a radius of 11 feet has a central angle measure of 15°.

What is the area of the sector rounded to the nearest tenth?

Use 3.14 for π .

52.5 ft 2

31.7 ft2

16.2 ft 2

15.8 ft2

Answer 1

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

A = (θ/360)πr^2

where θ is the central angle measure in degrees, r is the radius, and π is the mathematical constant pi.

Substituting the given values, we get:

A = (15/360)π(11)^2

≈ 16.2 ft^2

Rounding this to the nearest tenth gives:

A ≈ 15.8 ft^2

Therefore, the area of the sector rounded to the nearest tenth is 15.8 ft^2.

Explanation:

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