11-Arcs and Central Angles - cdn.kutasoftware.com

[Pages:4]Kuta Software - Infinite Geometry

Arcs and Central Angles

Name the arc made by the given angle. 1) FQE

F

Q E

D

Name the central angle of the given arc. 3) ML

Name___________________________________ Date________________ Period____

2) 1

I

H

1

J

4) ML

L M

1

L K

Q M K

If an angle is given, name the arc it makes. If an arc is given, name its central angle.

5) RS

6) Major arc for 1

T Q

S R

7) KQL

B C

2 13

A

8) SVT

J

Q

K

V R

U T

Q

L I

S

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

9)

155?

10)

?

123?

?

120?

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Worksheet by Kuta Software LLC

11) mCFD

E F

81?

D

135?

C B

12) mSPQ

Q 86?

154? P

U

R

T S 60?

13) mEFC

C

D

14) mMIJ

J 55? K

B

I

126?

E

F

M

L

Solve for x. Assume that lines which appear to be diameters are actual diameters.

15)

16)

140?

x + 93

6x - 8

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

17) mWV

18) mVST

12x - 2

W V

5x + 10 U

S

T

-37x + 2 T

S U

V

-27x - 3

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Arcs and Central Angles

Name the arc made by the given angle.

1) FQE

FE

F

Q E

D

Name the central angle of the given arc.

3) ML

1

Name___________________________________ Date________________ Period____

2) 1

I

H

1

HI

J

4) ML

MQL

L M

1

L K

Q M K

If an angle is given, name the arc it makes. If an arc is given, name its central angle.

5) RS

RQS

6) Major arc for 1 ACB

T Q

S R

7) KQL

KL

B C

2

13

A

8) SVT

SQT

J

Q

K

V R

U T

Q

L I

S

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

9)

120?

155?

10)

123?

?

123?

?

120?

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-1-

Worksheet by Kuta Software LLC

11) mCFD

E F

81?

D

135?

C B

306?

13) mEFC

C

D

12) mSPQ

Q 86?

154? P

U

R

T S 60?

146?

14) mMIJ

J 55? K

B

I

126?

E

F

234?

M

L

125?

Solve for x. Assume that lines which appear to be diameters are actual diameters.

15)

16)

140?

x + 93

6x - 8

-3 8

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

17) mWV

18) mVST

12x - 2

W V

S

50?

5x + 10 U

T

-37x + 2 T

S U

V

105?

-27x - 3

Create your own worksheets like this one with Infinite Geometry. Free trial available at

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Worksheet by Kuta Software LLC

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