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4 September, 14:35

If the arc length shown is 15 feet, find theta to the nearest hundredth of a degree

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  1. 4 September, 15:28
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    Arc length is a part of the circumference which subtends a given angle to the center of a given circle. The arc length is calculated by θ/360 (2πr) where 2πr is the circumference of the circle.

    In this case, the circumference is 12π.

    Thus, 15 = θ/360 (12π), solving for theta,

    θ = (15/12π) * 360

    θ = 143.24

    There, theta is equal to 143.24°
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