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lyudmila [28]
3 years ago
6

Find the length s of the arc of a circle of radius 42 inches42 inches subtended by the central angle one seventh radian 1 7 radi

an.
Mathematics
1 answer:
KIM [24]3 years ago
7 0
Answer:

The arc has a length of 1.88 feet, approximately.

Explanation:

The formula for arc length of a circle is <span>s=θr</span>, where θ is the central angle in radians, r is the radius and s is the arc.

We must convert <span>54˚</span> to radians. We use the conversion factor <span>π180</span>.

<span>54˚×<span>π<span>180˚</span></span>=<span><span>3π</span>10</span></span>

Apply the above mentioned formula:

<span>s=θ×r</span>

<span>s=<span><span>3π</span>10</span>×2</span>

<span>s=<span><span>3π</span>5</span></span>

<span>s≅1.88 feet</span>

I really hopes this helps:)


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