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Nastasia [14]
1 year ago
9

Suppose that Juan found a crop circle with a 1350 ft radius. He follows a 2000 ft arc on the circle.What central angle, in radia

ns, would intercept this arc?
Mathematics
1 answer:
Anuta_ua [19.1K]1 year ago
4 0

Given:

a.) Suppose that Juan found a crop circle with a 1350 ft radius.

b.) He follows a 2000 ft arc on the circle.

To find the central angle, we will be using the following formula:

\text{ S = r}\Theta

Where,

S = Arc Length = 2000 ft.

r = radius = 1350 ft.

Θ = Central angle (in radians)

We get,

\text{ S = r}\Theta\Theta\text{ = }\frac{\text{ S}}{\text{ r}}\text{ = }\frac{\text{ 2000}}{\text{ 1350}}\text{ = }\frac{\text{ 40}}{\text{ 27}}\text{ }\Theta\text{ = }\frac{40}{27}\text{ radians}

Therefore, the answer is 40/27 radians.

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