Central Angle from Inscribed (Level 1)

This math topic explores the relationships between central angles and inscribed angles in a circle, focusing specifically on calculating central angles when given corresponding inscribed angles. Each of the problems presents a different circle configuration, and learners are tasked with finding specific central angles based on the given inscribed angles. The set of answers for each question requires learners to understand and apply theorems relating to angles in circles, ensuring a deeper comprehension of circle geometry 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 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 angle NDY if angle NPY is 19º
a
53º
b
48º
c
10º
d
13º
e
38º
f
28º
2
An svg image showing a math problem
Find angle NZC if angle NPC is 38º
a
19º
b
96º
c
86º
d
56º
e
61º
f
76º
3
An svg image showing a math problem
Find angle MBR if angle MYR is 29º
a
58º
b
78º
c
38º
d
15º
e
63º
f
73º
4
An svg image showing a math problem
Find angle MBY if angle MRY is 56º
a
117º
b
112º
c
28º
d
107º
e
122º
f
97º
5
An svg image showing a math problem
Find angle XMB if angle XPB is 22º
a
11º
b
19º
c
29º
d
64º
e
54º
f
44º
6
An svg image showing a math problem
Find angle PBZ if angle PMZ is 26º
a
67º
b
57º
c
52º
d
37º
e
13º
f
47º
7
An svg image showing a math problem
Find angle RZM if angle RNM is 24º
a
23º
b
58º
c
48º
d
68º
e
38º
f
12º
Geometry of Circles - Central Angle from Inscribed (Level 1) - Mobius Math