A circle has a radius of 4.5mm. A sector of the circle has a central angle of 3.5 radians. Find the area of the sector. Do not round any int

Question

A circle has a radius of 4.5mm. A sector of the circle has a central angle of 3.5 radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth.

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Vodka 3 years 2021-08-25T18:14:53+00:00 1 Answers 17 views 0

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  1. linhdan
    0
    2021-08-25T18:16:41+00:00
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    Answer:

    35.4 mm²

    Explanation:

    The area of a sector is given by

    A = \frac{1}{2} r^2\theta

    where r is the radius and θ is the central angle in radian.

    Therefore,

    A = \frac{1}{2}\times4.5^2\times3.5 = 35.4375 \text{ mm}^2 = 35.4\text{ mm}^2

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