what is the area of a sector when theta = 15º and r = 4

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what is the area of a sector when theta = 15º and r = 4

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Emery 7 days 2021-11-25T04:42:39+00:00 1 Answer 0

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    2021-11-25T04:44:30+00:00

    Answer:

    2.09 sq. units

    Step-by-step explanation:

    We can simply use the formula for area of a sector of a circle.

    Area of sector = \frac{\theta}{360}*\pi r^2

    Where  \theta is the angle and r is the radius.

    It is given that the angle is 15 and radius is 4. We plug them in and find the area:

    \frac{\theta}{360}*\pi r^2\\=\frac{15}{360}*\pi (4)^2\\=\frac{1}{24}*16\pi\\=2.09

    Thus area of sector is 2.09  sq. units.

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