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.
Practice:
Subtended Angle to Arc Definition
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What arc subtends angle YRC?
Geometry of Circles - Subtended Angle to Arc Definition Worksheet
| Math worksheet on 'Geometry of Circles - Subtended Angle to Arc Definition (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
1
| What arc subtends angle PCX? |
a
| PC |
b
| CX |
c
| CP |
d
| PX |
e
| XC |
2
| What arc subtends angle CPN? |
a
| PN |
b
| PC |
c
| NP |
d
| CN |
e
| CP |
3
| What arc subtends angle YRC? |
a
| RC |
b
| YC |
c
| CR |
d
| RY |
e
| YR |
4
| What arc subtends angle XPD? |
a
| XD |
b
| PD |
c
| DP |
d
| PX |
e
| XP |
5
| What arc subtends angle BPR? |
a
| PB |
b
| RP |
c
| BR |
d
| PR |
e
| BP |
6
| What arc subtends angle NPX? |
a
| NX |
b
| XP |
c
| PN |
d
| NP |
e
| PX |
7
| What arc subtends angle RCD? |
a
| CR |
b
| CD |
c
| RC |
d
| DC |
e
| RD |