This math topic focuses on finding the lengths of intersected arcs from given inscribed angles in circles. It includes multiple problems where students use knowledge from geometry to determine the measurement of the arc corresponding to a specified inscribed angle. Each question presents a different circle configuration and requires the application of the theoretical principles of circle geometry concerning arcs and angles.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Intersected Arc from Inscribed Angle
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Find the length (in degrees) of intersected arc CP if angle CXP is 51º
Geometry of Circles - Intersected Arc from Inscribed Angle Worksheet
| Math worksheet on 'Geometry of Circles - Intersected Arc from Inscribed Angle (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
1
| Find the length (in degrees) of intersected arc BR if angle BPR is 26º |
a
| 52º |
b
| 32º |
c
| 42º |
d
| 13º |
e
| 67º |
f
| 37º |
2
| Find the length (in degrees) of intersected arc XN if angle XBN is 43º |
a
| 86º |
b
| 66º |
c
| 22º |
d
| 71º |
e
| 91º |
f
| 76º |
3
| Find the length (in degrees) of intersected arc CZ if angle CYZ is 31º |
a
| 37º |
b
| 82º |
c
| 42º |
d
| 47º |
e
| 62º |
f
| 16º |
4
| Find the length (in degrees) of intersected arc CX if angle CNX is 26º |
a
| 47º |
b
| 32º |
c
| 42º |
d
| 13º |
e
| 52º |
f
| 62º |
5
| Find the length (in degrees) of intersected arc MZ if angle MBZ is 52º |
a
| 89º |
b
| 119º |
c
| 104º |
d
| 26º |
e
| 84º |
f
| 94º |
6
| Find the length (in degrees) of intersected arc XC if angle XPC is 16º |
a
| 8º |
b
| 37º |
c
| 32º |
d
| 47º |
e
| 22º |
f
| 12º |
7
| Find the length (in degrees) of intersected arc BN if angle BRN is 17º |
a
| 54º |
b
| 9º |
c
| 14º |
d
| 34º |
e
| 29º |
f
| 24º |