Arc Length

Arc Length

a fraction of the circumference

Multiple Choice

Does this picture show the diameter or radius of a circle?

• Diameter
• Radius

Multiple Choice

What is the diameter?

• 5 in
• 10 in
• 3.14 in
• 15.84 in

Multiple Choice

What is the formula for circumference of a circle given the radius?

• C = πr
• C = 2πr
• C = πd
• C = πr²

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What is the circumference of a circle with a radius of 5 in terms of π ?

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A DVD has a diameter of 15 millimeters. What is the circumference?

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What fraction of the circle is an 180 degree arc?

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What is the exact value of the circumference with a radius of 5 units?

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What is the length of an 180 degree arc of a circle with a radius of 5 km?

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Write the ratio of arc measure : circle measure in simlest terms.

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Find the exact value of the circumference of a circle with a radius of 5 units.

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What is the length of a 90 degree arc of a circle with a 5 foot radius? (exact value in simplest terms)

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Write the ratio

 $\frac{135}{360}$   in simplest terms

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Find the circumference of the circle.

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Find the length of a 135 degree arc.

Multiple Choice

Which proportion is correct?

• $\frac{x}{360}=\frac{6\pi}{16\pi}$

• $\frac{x}{16\pi}=\frac{6\pi}{360}$

Multiple Choice

Which proportion is the simplified version of:

 $\frac{x}{360}=\frac{6\pi}{16\pi}$  

•  $\frac{x}{360}=\frac{18.84}{50.24}$  

•  $\frac{x}{360}=\frac{6}{16}$  

•  $\frac{x}{360}=\frac{3}{8}$  

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Solve the proportion:

 $\frac{x}{360}=\frac{3}{8}$  

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Find the  degree measure of the arc 6 $\pi$  units long.