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Common Core: High School - Geometry : Circles

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 #11 : Circles

Given $\frac{C}{C'}=95$ , and R=20 , what is R'?

Screen shot 2020 07 01 at 7.06.26 pm

Possible Answers:

R'=4

$R'=\frac{4}{19}$

$R'=\frac{1}{19}$

R'=19

$R'=\frac{19}{4}$

Correct answer:

$R'=\frac{4}{19}$

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. $\frac{C}{C'}=\frac{R}{R'}$ . With this relationship, we can determine what is.

$\frac{C}{C'}=\frac{R}{R'}$

Substitute for the variables given in the question.

$95=\frac{20}{R'}$

Multiply by on each side.

95R'=20

Divide by to get .

$R'=\frac{20}{95}=\frac{4}{19}$

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Example Question #12 : Circles

Given $\frac{C}{C'}=40$ , and R=8 , what is R'?

Screen shot 2020 07 01 at 7.06.26 pm

Possible Answers:

R'=1

R'=5

R'=40

$R'=\frac{1}{5}$

$R'=\frac{1}{40}$

Correct answer:

$R'=\frac{1}{5}$

Explanation:

In order to do this problem, we need to remember the relationship between Circumference's, and Radii. $\frac{C}{C'}=\frac{R}{R'}$ . With this relationship, we can determine what is.

$\frac{C}{C'}=\frac{R}{R'}$

Substitute for the variables given in the question.

$40=\frac{8}{R'}$

Multiply by on each side.

40R'=8

Divide by to get .

$R'=\frac{8}{40}=\frac{1}{5}$

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Example Question #11 : Circles

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

Possible Answers:

$158 ^{\circ}$

$22 ^{\circ}$

$68 ^{\circ}$

$248 ^{\circ}$

$338 ^{\circ}$

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 #12 : Circles

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

Possible Answers:

$259 ^{\circ}$

$169 ^{\circ}$

$11 ^{\circ}$

$79 ^{\circ}$

$349 ^{\circ}$

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 #13 : Circles

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

Possible Answers:

$329 ^{\circ}$

$239 ^{\circ}$

$59 ^{\circ}$

$149 ^{\circ}$

$31 ^{\circ}$

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 #14 : Circles

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

Possible Answers:

$70 ^{\circ}$

$110 ^{\circ}$

$290 ^{\circ}$

$200 ^{\circ}$

$20 ^{\circ}$

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 #15 : Circles

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

Possible Answers:

$258 ^{\circ}$

$12 ^{\circ}$

$348 ^{\circ}$

$168 ^{\circ}$

$78 ^{\circ}$

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 #16 : Circles

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

Possible Answers:

$121 ^{\circ}$

$301 ^{\circ}$

$59 ^{\circ}$

$211 ^{\circ}$

$31 ^{\circ}$

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 #17 : Circles

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

Possible Answers:

$6\degree$

$24\degree$

$12\degree$

$48\degree$

$13\degree$

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 #18 : Circles

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

Possible Answers:

$42\degree$

$168\degree$

$43\degree$

$84\degree$

$21\degree$

Correct answer:

$21\degree$

Explanation:

The inscribed angle is simply half the arc measurement.

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

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All Common Core: High School - Geometry Resources

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Common Core: High School - Geometry : Circles

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

All Common Core: High School - Geometry Resources

Example Questions

Example Question #11 : Circles

Example Question #12 : Circles

Example Question #11 : Circles

Example Question #12 : Circles

Example Question #13 : Circles

Example Question #14 : Circles

Example Question #15 : Circles

Example Question #16 : Circles

Example Question #17 : Circles

Example Question #18 : Circles

All Common Core: High School - Geometry Resources

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