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.

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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 RZ if angle RBZ is 45º
a
90º
b
23º
c
80º
d
75º
e
65º
f
70º
2
An svg image showing a math problem
Find the length (in degrees) of intersected arc XB if angle XCB is 39º
a
88º
b
78º
c
53º
d
93º
e
63º
f
20º
3
An svg image showing a math problem
Find the length (in degrees) of intersected arc YR if angle YCR is 32º
a
79º
b
44º
c
16º
d
39º
e
64º
f
74º
4
An svg image showing a math problem
Find the length (in degrees) of intersected arc DC if angle DMC is 19º
a
10º
b
38º
c
28º
d
48º
e
23º
f
43º
5
An svg image showing a math problem
Find the length (in degrees) of intersected arc CR if angle CXR is 15º
a
35º
b
30º
c
20º
d
e
40º
f
50º
6
An svg image showing a math problem
Find the length (in degrees) of intersected arc RD if angle RXD is 18º
a
b
16º
c
31º
d
26º
e
36º
f
56º
7
An svg image showing a math problem
Find the length (in degrees) of intersected arc ZC if angle ZXC is 34º
a
78º
b
53º
c
48º
d
68º
e
17º
f
58º
Geometry of Circles - Intersected Arc from Inscribed Angle (Level 1) - Mobius Math Academy