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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Geometry of Circles - Intersected Arc from Inscribed Angle
1
An svg image showing a math problem
Find the length (in degrees) of intersected arc BY if angle BMY is 31º
a
16º
b
52º
c
67º
d
47º
e
57º
f
62º
2
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Find the length (in degrees) of intersected arc BZ if angle BYZ is 30º
a
75º
b
65º
c
55º
d
15º
e
60º
f
35º
3
An svg image showing a math problem
Find the length (in degrees) of intersected arc CR if angle CMR is 19º
a
43º
b
53º
c
38º
d
23º
e
10º
f
13º
4
An svg image showing a math problem
Find the length (in degrees) of intersected arc RD if angle RXD is 18º
a
b
26º
c
31º
d
16º
e
36º
f
56º
5
An svg image showing a math problem
Find the length (in degrees) of intersected arc DN if angle DBN is 29º
a
38º
b
73º
c
43º
d
15º
e
58º
f
53º
6
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Find the length (in degrees) of intersected arc RX if angle RDX is 17º
a
24º
b
c
34º
d
54º
e
49º
f
44º
7
An svg image showing a math problem
Find the length (in degrees) of intersected arc MX if angle MBX is 36º
a
18º
b
77º
c
47º
d
67º
e
72º
f
52º
8
An svg image showing a math problem
Find the length (in degrees) of intersected arc PN if angle PCN is 50º
a
115º
b
85º
c
80º
d
110º
e
100º
f
25º