# The circle shown below has a diameter of 18 centimeters (cm). If the dotted arc is 33 cm long, what is the measure of angle θ in radians?

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The circle shown below has a diameter of 18 centimeters (cm). If the dotted arc is 33 cm long, what is the measure of angle θ in radians?

A. 3/11

B. 6/11

C. 11/6

D. 11/3

The circle shown below has a diameter of 18 centimeters (cm). If the dotted arc is 33 cm long, what is the measure of angle θ in radians?

A. 3/11

B. 6/11

C. 11/6

D. 11/3

D

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To find the measure of angle ( \theta ) in radians, we can use the formula for arc length in radians.

Given that the diameter of the circle is 18 centimeters, the radius (denoted as ( r )) is half of the diameter, which is ( \frac{18}{2} = 9 ) centimeters.

The formula for arc length (( s )) in radians is:

[ s = r \cdot \theta ]

where:

- ( s ) is the arc length,
- ( r ) is the radius of the circle,
- ( \theta ) is the angle in radians.

We're given that the arc length is 33 centimeters. Substituting the given values into the formula, we can solve for ( \theta ):

[ 33 = 9 \cdot \theta ]

[ \theta = \frac{33}{9} ]

[ \theta \approx 3.67 ]

So, the measure of angle ( \theta ) in radians is approximately ( 3.67 ) radians.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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