Intersected Arc from Inscribed Angle (Level 1)

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.

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Geometry of Circles - Intersected Arc from Inscribed Angle Worksheet

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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
An svg image showing a math problem
Find the length (in degrees) of intersected arc DY if angle DMY is 29º
a
53º
b
43º
c
58º
d
38º
e
15º
f
33º
2
An svg image showing a math problem
Find the length (in degrees) of intersected arc PN if angle PYN is 31º
a
77º
b
82º
c
42º
d
72º
e
16º
f
62º
3
An svg image showing a math problem
Find the length (in degrees) of intersected arc MZ if angle MBZ is 52º
a
89º
b
104º
c
26º
d
94º
e
84º
f
119º
4
An svg image showing a math problem
Find the length (in degrees) of intersected arc BY if angle BNY is 37º
a
74º
b
84º
c
94º
d
49º
e
64º
f
19º
5
An svg image showing a math problem
Find the length (in degrees) of intersected arc DM if angle DNM is 49º
a
78º
b
103º
c
98º
d
93º
e
25º
f
108º
6
An svg image showing a math problem
Find the length (in degrees) of intersected arc DN if angle DRN is 36º
a
47º
b
52º
c
87º
d
72º
e
77º
f
18º
7
An svg image showing a math problem
Find the length (in degrees) of intersected arc ZC if angle ZPC is 27º
a
34º
b
54º
c
49º
d
29º
e
14º
f
74º