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Common Core: High School - Geometry : Arc Length, Radii, Radian, and Sector Similarity and Proportionality: CCSS.Math.Content.HSG-C.B.5

Study concepts, example questions & explanations for Common Core: High School - Geometry

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{24}$ find the arc length.

Possible Answers:

$\frac{\pi}{24} + 6$

$4 \pi$

$\frac{144}{\pi}$

$\frac{\pi}{4}$

Correct answer:

$\frac{\pi}{4}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 6 \cdot \frac{\pi}{24} \\s = \frac{\pi}{4}$

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Example Question #1 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{5}$ find the arc length.

Possible Answers:

169

$\frac{5 \pi}{13}$

$\frac{65}{\pi}$

$\frac{\pi}{5} + 13$

$\frac{13 \pi}{5}$

Correct answer:

$\frac{13 \pi}{5}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 13 \cdot \frac{\pi}{5} \\s = \frac{13 \pi}{5}$

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Example Question #1 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{23}$ find the arc length.

Possible Answers:

$\frac{10 \pi}{23}$

100

$\frac{\pi}{23} + 10$

$\frac{230}{\pi}$

$\frac{23 \pi}{10}$

Correct answer:

$\frac{10 \pi}{23}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 10 \cdot \frac{\pi}{23} \\s = \frac{10 \pi}{23}$

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Example Question #52 : Circles

If the radius is , and the central angle is $\frac{\pi}{23}$ find the arc length.

Possible Answers:

$\frac{\pi}{23} + 15$

$\frac{15 \pi}{23}$

$\frac{345}{\pi}$

225

$\frac{23 \pi}{15}$

Correct answer:

$\frac{15 \pi}{23}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 15 \cdot \frac{\pi}{23} \\s = \frac{15 \pi}{23}$

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Example Question #53 : Circles

If the radius is , and the central angle is $\frac{\pi}{33}$ find the arc length.

Possible Answers:

144

$\frac{4 \pi}{11}$

$\frac{396}{\pi}$

$\frac{\pi}{33} + 12$

$\frac{11 \pi}{4}$

Correct answer:

$\frac{4 \pi}{11}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 12 \cdot \frac{\pi}{33} \\s = \frac{4 \pi}{11}$

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Example Question #2 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{31}$ find the arc length.

Possible Answers:

$\frac{\pi}{31} + 19$

$\frac{31 \pi}{19}$

361

$\frac{589}{\pi}$

$\frac{19 \pi}{31}$

Correct answer:

$\frac{19 \pi}{31}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 19 \cdot \frac{\pi}{31} \\s = \frac{19 \pi}{31}$

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Example Question #7 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{26}$ find the arc length.

Possible Answers:

$\frac{13 \pi}{4}$

$\frac{\pi}{26} + 8$

$\frac{4 \pi}{13}$

$\frac{208}{\pi}$

Correct answer:

$\frac{4 \pi}{13}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 8 \cdot \frac{\pi}{26} \\s = \frac{4 \pi}{13}$

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Example Question #8 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{4}$ find the arc length.

Possible Answers:

$\frac{19 \pi}{4}$

$\frac{\pi}{4} + 19$

361

$\frac{76}{\pi}$

$\frac{4 \pi}{19}$

Correct answer:

$\frac{19 \pi}{4}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 19 \cdot \frac{\pi}{4} \\s = \frac{19 \pi}{4}$

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Example Question #9 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{37}$ find the arc length.

Possible Answers:

$\frac{185}{\pi}$

$\frac{\pi}{37} + 5$

$\frac{5 \pi}{37}$

$\frac{37 \pi}{5}$

Correct answer:

$\frac{5 \pi}{37}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 5 \cdot \frac{\pi}{37} \\s = \frac{5 \pi}{37}$

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Example Question #10 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

If the radius is , and the central angle is $\frac{\pi}{24}$ find the arc length.

Possible Answers:

$\frac{120}{\pi}$

$\frac{5 \pi}{24}$

$\frac{\pi}{24} + 5$

$\frac{24 \pi}{5}$

Correct answer:

$\frac{5 \pi}{24}$

Explanation:

To find the arc length, we simply multiply the radius by the central angle.

$\\s = \theta r \\s = 5 \cdot \frac{\pi}{24} \\s = \frac{5 \pi}{24}$

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: High School - Geometry : Arc Length, Radii, Radian, and Sector Similarity and Proportionality: CCSS.Math.Content.HSG-C.B.5

Study concepts, example questions & explanations for Common Core: High School - Geometry

All Common Core: High School - Geometry Resources

Example Questions

Example Question #1 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

Example Question #1 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

Example Question #1 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

Example Question #52 : Circles

Example Question #53 : Circles

Example Question #2 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

Example Question #7 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

Example Question #8 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

Example Question #9 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

Example Question #10 : Arc Length, Radii, Radian, And Sector Similarity And Proportionality: Ccss.Math.Content.Hsg C.B.5

All Common Core: High School - Geometry Resources

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