Angles in Circles and Tangent Lines

Geometry - Lesson Circle Angles

​

Multiple Choice

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40
• 35
• 55
• 69

Multiple Choice

What is the area of the shaded region? Round to the nearest hundredth.

• 8.37

• 2.09

• 33.49

• 4.19

Multiple Choice

If O is the center of the circle, find the measure of central angle x.

• x = 160 degrees

• x = 40 degrees

• x = 80 degrees

• x = 360 degrees

Multiple Choice

• A
• B
• C
• D

Multiple Choice

8.

• 67.5°
• 90°
• 22.5°
• 45°

Multiple Choice

Find the measure of arc QR

• 106
• 85
• 113
• 78

Circumscribed Angles and Tangent

By Mrs. Swain

​On a circle, a tangent is a line that touches, but that does not intersect the circle.

In the picture, the red line is a Tangent​

​

Unit 12

​What is Tangent?

Unit 12​

​When two tangents touch

​

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

​Tangent and the radius (purple line) will always form a 90 degree angle.

​

Unit 12.

​What is Tangent?

Unit 12

​Find the missing length

Multiple Choice

What is the value of x?

• 12

• 17.5

• 6

• 1.9