Subtended Angle to Arc Definition (Level 1)

This math topic explores the concept of a subtended angle and the arc it creates in various circle diagrams. Students are presented with problems where they must determine which arc is subtended by a given angle. Each problem features a diagram of a circle with labeled points and angles, and multiple-choice options for the students to select the correct arc corresponding to the subtended angle. This practice emphasizes understanding the geometric relationships between angles and arcs in circles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Subtended Angle to Arc Definition Worksheet

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Geometry of Circles - Subtended Angle to Arc Definition
1
An svg image showing a math problem
What arc subtends angle PCX?
a
XC
b
PX
c
PC
d
CP
e
CX
2
An svg image showing a math problem
What arc subtends angle PZR?
a
RZ
b
PR
c
ZR
d
PZ
e
ZP
3
An svg image showing a math problem
What arc subtends angle BPR?
a
PR
b
RP
c
BP
d
PB
e
BR
4
An svg image showing a math problem
What arc subtends angle CYM?
a
MY
b
YM
c
YC
d
CM
e
CY
5
An svg image showing a math problem
What arc subtends angle RCD?
a
CR
b
RC
c
DC
d
CD
e
RD
6
An svg image showing a math problem
What arc subtends angle PBY?
a
BP
b
PY
c
BY
d
PB
e
YB
7
An svg image showing a math problem
What arc subtends angle PZC?
a
CZ
b
PZ
c
PC
d
ZP
e
ZC
8
An svg image showing a math problem
What arc subtends angle CRM?
a
CM
b
MR
c
RC
d
CR
e
RM