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

Help Questions

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

Questions 1 - 10

1

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

$12 ^{\circ}$

$78 ^{\circ}$

$168 ^{\circ}$

$258 ^{\circ}$

$348 ^{\circ}$

Explanation

The central angle is the same as the arc measure.

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

2

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

$6\degree$

$24\degree$

$12\degree$

$13\degree$

$48\degree$

Explanation

The inscribed angle is simply half the arc measurement.

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

3

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

$22 ^{\circ}$

$68 ^{\circ}$

$158 ^{\circ}$

$248 ^{\circ}$

$338 ^{\circ}$

Explanation

The central angle is the same as the arc measure.

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

4

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

$21\degree$

$84\degree$

$42\degree$

$43\degree$

$168\degree$

Explanation

The inscribed angle is simply half the arc measurement.

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

5

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

$59 ^{\circ}$

$31 ^{\circ}$

$121 ^{\circ}$

$211 ^{\circ}$

$301 ^{\circ}$

Explanation

The central angle is the same as the arc measure.

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

6

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

$43\degree$

$172\degree$

$86\degree$

$87\degree$

$344\degree$

Explanation

The inscribed angle is simply half the arc measurement.

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

7

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

$27\degree$

$108\degree$

$54\degree$

$55\degree$

$216\degree$

Explanation

The inscribed angle is simply half the arc measurement.

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

8

What is the measure of an inscribed angle with an arc measurement of $31 ^{\circ}$ ?

$\frac{31}{2}\degree$

$62\degree$

$31\degree$

$32\degree$

$124\degree$

Explanation

The inscribed angle is simply half the arc measurement.

$\=31 \cdot \frac{1}{2} \\=\frac{31}{2}$

9

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

$70 ^{\circ}$

$20 ^{\circ}$

$110 ^{\circ}$

$200 ^{\circ}$

$290 ^{\circ}$

Explanation

The central angle is the same as the arc measure.

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

10

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

$31 ^{\circ}$

$59 ^{\circ}$

$149 ^{\circ}$

$239 ^{\circ}$

$329 ^{\circ}$

Explanation

The central angle is the same as the arc measure.

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

Page 1 of 2

Return to subject