Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Secants and Tangents in Circles

Total questions: 11

Worksheet time: 11mins

Name
Class
Date
1.

Assume that all the lines that appear tangent are tangent. JA=12 KL=15 , BK=9. Find the perimeter.

(a)  

2.

Find the length of WU

(a)  

3.

Find the length of CE

(a)  

4.

Find the measure of angle EFH.

(a)  

5.

Given m∠ ACB=85 , m∠ CAB=55 and arcAB has a measure of 100° find m∠ FAD

(a)  

6.

What is the difference between a tangent line and a secant line?

a)

A secant intersects the circle twice; a tangent touches the circle once

b)

A tangent intersects the circle twice; a secant touches the circle once

c)

A secant goes through the center of the circle; a tangent does not

d)

A secant is outside the circle; a tangent is inside the circle

7.

Solve for angle "x" in degrees. (Hint: Intersecting Exterior Secants- Finding Arcs and Angles)

a)

60

b)

55

c)

115

d)

87

8.

Solve for x. (Hint: Length of Tangent Lines from the Same External Point)

a)

42.4

b)

52

c)

52.3

d)

42

9.
Question Image

Match the following vocabulary term with its appropriate part of the circle.

a)

Secant Line

1.

Line PR

b)

Point of Tangency

2.

Point V

c)

Minor Arc

3.

∩QP\cap QP

Arc QP

d)

Major Arc

4.

∩RVT\cap RVT

Arc RVT

e)

Semi-Circle

5.

∩QXV\cap QXV

Arc QXV

10.

What is the measure of the missing angle in degrees? (Hint: Inscribed Angle)

a)

102

b)

51

c)

204

d)

40

11.

What is the formula used when finding an angle formed by an intersecting secant and tangent on the circle?

a)

Inscribed Angle2\frac{Inscribed\ Angle}{2}

b)

2(Inscribed Angle)

c)

2(Intercepted Arc)

d)

Intercepted Arc2\frac{Intercepted\ Arc}{2}