Central Angle from Inscribed (Level 2)

This math topic focuses on the geometry of circles, specifically on understanding the relationship between central and inscribed angles. Students are tasked with solving problems that require calculating unknown angles based on given inscribed angles within various circle diagrams. Each question provides a numerical measure of an inscribed angle, and multiple choice answers for the corresponding central angle. These problems are designed to enhance students' skills in geometric reasoning and the properties of circles at an intermediate level.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Central Angle from Inscribed Worksheet

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Math worksheet on 'Geometry of Circles - Central Angle from Inscribed (Level 2)'. 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 angle ZCR if angle ZMR is 45.5º
a
23º
b
66º
c
91º
d
101º
e
76º
f
111º
2
An svg image showing a math problem
Find angle YPX if angle YZX is 51.5º
a
26º
b
123º
c
103º
d
93º
e
88º
f
118º
3
An svg image showing a math problem
Find angle NRM if angle NBM is 15.5º
a
b
c
46º
d
26º
e
11º
f
31º
4
An svg image showing a math problem
Find angle YPD if angle YMD is 34.5º
a
54º
b
74º
c
59º
d
69º
e
84º
f
17º
5
An svg image showing a math problem
Find angle MPY if angle MZY is 69.5º
a
119º
b
159º
c
149º
d
139º
e
35º
f
134º
6
An svg image showing a math problem
Find angle NXZ if angle NBZ is 35.5º
a
71º
b
46º
c
56º
d
18º
e
76º
f
86º
7
An svg image showing a math problem
Find angle ZXC if angle ZRC is 46.5º
a
93º
b
88º
c
68º
d
23º
e
73º
f
98º