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Common Core: High School - Geometry : Relationships Between Angles, Radii, Chords, and Diameters of Circles: CCSS.Math.Content.HSG-C.A.2

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

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All Common Core: High School - Geometry Resources

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Example Questions

Example Question #1 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

If the arc measure is $22 ^{\circ}$ what is the measure of the central angle?

Possible Answers:

$68 ^{\circ}$

$158 ^{\circ}$

$22 ^{\circ}$

$248 ^{\circ}$

$338 ^{\circ}$

Correct answer:

$22 ^{\circ}$

Explanation:

The central angle is the same as the arc measure.

So the answer is $22 ^{\circ}$

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Example Question #2 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

If the arc measure is $11 ^{\circ}$ what is the measure of the central angle?

Possible Answers:

$259 ^{\circ}$

$11 ^{\circ}$

$349 ^{\circ}$

$169 ^{\circ}$

$79 ^{\circ}$

Correct answer:

$11 ^{\circ}$

Explanation:

The central angle is the same as the arc measure.

So the answer is $11 ^{\circ}$

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Example Question #3 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

If the arc measure is $31 ^{\circ}$ what is the measure of the central angle?

Possible Answers:

$59 ^{\circ}$

$239 ^{\circ}$

$31 ^{\circ}$

$329 ^{\circ}$

$149 ^{\circ}$

Correct answer:

$31 ^{\circ}$

Explanation:

The central angle is the same as the arc measure.

So the answer is $31 ^{\circ}$

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Example Question #4 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

If the arc measure is $70 ^{\circ}$ what is the measure of the central angle?

Possible Answers:

$70 ^{\circ}$

$200 ^{\circ}$

$20 ^{\circ}$

$110 ^{\circ}$

$290 ^{\circ}$

Correct answer:

$70 ^{\circ}$

Explanation:

The central angle is the same as the arc measure.

So the answer is $70 ^{\circ}$

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Example Question #5 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

If the arc measure is $12 ^{\circ}$ what is the measure of the central angle?

Possible Answers:

$348 ^{\circ}$

$78 ^{\circ}$

$168 ^{\circ}$

$258 ^{\circ}$

$12 ^{\circ}$

Correct answer:

$12 ^{\circ}$

Explanation:

The central angle is the same as the arc measure.

So the answer is $12 ^{\circ}$

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Example Question #6 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

If the arc measure is $59 ^{\circ}$ what is the measure of the central angle?

Possible Answers:

$301 ^{\circ}$

$211 ^{\circ}$

$59 ^{\circ}$

$31 ^{\circ}$

$121 ^{\circ}$

Correct answer:

$59 ^{\circ}$

Explanation:

The central angle is the same as the arc measure.

So the answer is $59 ^{\circ}$

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Example Question #7 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

What is the measure of an inscribed angle with an arc measurement of $12 ^{\circ}$ ?

Possible Answers:

$48\degree$

$24\degree$

$12\degree$

$13\degree$

$6\degree$

Correct answer:

$6\degree$

Explanation:

The inscribed angle is simply half the arc measurement.

$\\=12 \cdot \frac{1}{2} \\\\=6$

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Example Question #8 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

What is the measure of an inscribed angle with an arc measurement of $42 ^{\circ}$ .

Possible Answers:

$42\degree$

$43\degree$

$21\degree$

$168\degree$

$84\degree$

Correct answer:

$21\degree$

Explanation:

The inscribed angle is simply half the arc measurement.

$\\=42 \cdot \frac{1}{2} \\\\=21$

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Example Question #9 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

What is the measure of an inscribed angle with an arc measurement of $86 ^{\circ}$ ?

Possible Answers:

$87\degree$

$43\degree$

$344\degree$

$86\degree$

$172\degree$

Correct answer:

$43\degree$

Explanation:

The inscribed angle is simply half the arc measurement.

$\\=86 \cdot \frac{1}{2} \\\\=43$

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Example Question #10 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

What is the measure of an inscribed angle with an arc measurement of $54 ^{\circ}$ ?

Possible Answers:

$54\degree$

$55\degree$

$27\degree$

$216\degree$

$108\degree$

Correct answer:

$27\degree$

Explanation:

The inscribed angle is simply half the arc measurement.

$\\=54 \cdot \frac{1}{2} \\\\=27$

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All Common Core: High School - Geometry Resources

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Common Core: High School - Geometry : Relationships Between Angles, Radii, Chords, and Diameters of Circles: CCSS.Math.Content.HSG-C.A.2

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

All Common Core: High School - Geometry Resources

Example Questions

Example Question #1 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #2 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #3 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #4 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #5 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #6 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #7 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #8 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #9 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

Example Question #10 : Relationships Between Angles, Radii, Chords, And Diameters Of Circles: Ccss.Math.Content.Hsg C.A.2

All Common Core: High School - Geometry Resources

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