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 DM if angle DNM is 49º
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 ZD if angle ZRD is 18º |
a
| 11º |
b
| 26º |
c
| 16º |
d
| 51º |
e
| 9º |
f
| 36º |
2
| Find the length (in degrees) of intersected arc YC if angle YPC is 49º |
a
| 25º |
b
| 73º |
c
| 88º |
d
| 78º |
e
| 118º |
f
| 98º |
3
| Find the length (in degrees) of intersected arc CX if angle CNX is 26º |
a
| 32º |
b
| 42º |
c
| 52º |
d
| 47º |
e
| 62º |
f
| 13º |
4
| Find the length (in degrees) of intersected arc YM if angle YDM is 43º |
a
| 101º |
b
| 71º |
c
| 86º |
d
| 81º |
e
| 76º |
f
| 22º |
5
| Find the length (in degrees) of intersected arc CD if angle CMD is 24º |
a
| 63º |
b
| 12º |
c
| 53º |
d
| 48º |
e
| 23º |
f
| 28º |
6
| Find the length (in degrees) of intersected arc BD if angle BCD is 18º |
a
| 16º |
b
| 46º |
c
| 21º |
d
| 9º |
e
| 26º |
f
| 36º |
7
| Find the length (in degrees) of intersected arc DY if angle DMY is 29º |
a
| 58º |
b
| 43º |
c
| 33º |
d
| 38º |
e
| 53º |
f
| 15º |