Introduction to Circles

Question 1

Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown.

Revolt · Accepted Answer

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Question 2

Circle D is shown. Line segments E D, F D, and G D are radii. Angle E D F is 80 degrees and angle F D G is 35 degrees. Point H is on the other side of the circle.

Revolt · Accepted Answer

m + 80 + 35 = 360

Question 3

In circle O, ST is a diameter.

Revolt · Accepted Answer

25.0

Question 4

Segments AC and BD are diameters of circle O.

Revolt · Accepted Answer

253°

Question 5

In circle O, RT and SU are diameters.

Revolt · Accepted Answer

64°

Question 6

Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees.

Revolt · Accepted Answer

149°

Question 7

Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.

Revolt · Accepted Answer

Line G H

Question 8

In circle O, and are diameters. Arc ED measures 17°.

Revolt · Accepted Answer

253°

Question 9

In circle O, and are diameters. The measure of arc DC is 50°.

Revolt · Accepted Answer

220°

Question 10

Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.

Revolt · Accepted Answer

2:1

Introduction to Circles Answers

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