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katovenus [111]
3 years ago
12

A circle has a circumference of 18. It has an arc of length 6. What is the central angle of the arc, in degrees?

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0
Circumference: 2πr C=18 so r= 18/2π= 9π

Arc length = rθ 6=(9π)θ θ=6/9π

Convert to degrees by multiplying by 180/π

6/9π x 180/π = 120 degrees
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<u></u>

  • <u>53 seconds.</u>

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The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

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<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

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<em />

Then you must find the lowest positive value of t that is a solution of the equation.

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