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24 August, 23:14

In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is? The area of the sector formed by the arc is? square feet.

Assume π = 3.14, and round your answers to the nearest hundredth.

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  1. 24 August, 23:27
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    The formula for finding the area of a sector in a circle is 1/2*r^2*x, where x is the angle and r is the radius.

    We don't know the angle, but we can find it using the formula x = s/r, where x is the angle, s is the arc length, and r is the radius.

    x = 7/4 (the radian measure of the angle)

    Now use this to find the area.

    A = 1/2 * 7^2 * 7/4

    = 49 * 7/8

    This is equal to 343/8 or approximately 42.875.

    The area is 42.88 square feet.
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