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 ZNC if angle ZYC is 39º
a
68º
b
88º
c
20º
d
83º
e
58º
f
78º
2
An svg image showing a math problem
Find angle RBY if angle RMY is 65º
a
110º
b
33º
c
120º
d
125º
e
130º
f
150º
3
An svg image showing a math problem
Find angle CYN if angle CBN is 41º
a
87º
b
82º
c
62º
d
72º
e
97º
f
21º
4
An svg image showing a math problem
Find angle XCD if angle XZD is 37º
a
69º
b
79º
c
59º
d
74º
e
89º
f
19º
5
An svg image showing a math problem
Find angle NDR if angle NBR is 69º
a
35º
b
138º
c
118º
d
148º
e
133º
f
113º
6
An svg image showing a math problem
Find angle NMD if angle NPD is 38º
a
86º
b
19º
c
81º
d
51º
e
91º
f
76º
7
An svg image showing a math problem
Find angle YDZ if angle YPZ is 49º
a
108º
b
78º
c
93º
d
113º
e
25º
f
98º