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Geometry of Circles - Inscribed Angle from Central (Level 1)

This math topic focuses on the geometry of circles, specifically the relationship between inscribed angles and central angles. It helps learners understand how to relate these two types of angles within a circle through a series of problems. Each question requires finding the measure of an inscribed angle given the measurement of the corresponding central angle, enhancing students' skills in using properties of angles in circles and applying them to solve geometry problems.

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

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Inscribed Angle from Central

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Find angle YDP if angle YNP is 48º

YPND

Geometry of Circles - Inscribed Angle from Central Worksheet

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Math worksheet on 'Geometry of Circles - Inscribed Angle from Central (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 BPY if angle BCY is 30º
a
65º
b
40º
c
60º
d
80º
e
15º
f
70º
2
An svg image showing a math problem
Find angle ZDM if angle ZXM is 28º
a
51º
b
36º
c
14º
d
56º
e
31º
f
76º
3
An svg image showing a math problem
Find angle YDP if angle YNP is 48º
a
96º
b
116º
c
91º
d
111º
e
24º
f
76º
4
An svg image showing a math problem
Find angle BZP if angle BYP is 57º
a
29º
b
94º
c
119º
d
114º
e
134º
f
129º
5
An svg image showing a math problem
Find angle NDP if angle NMP is 56º
a
132º
b
28º
c
97º
d
112º
e
102º
f
127º
6
An svg image showing a math problem
Find angle NPC if angle NMC is 58º
a
101º
b
131º
c
136º
d
29º
e
116º
f
91º
7
An svg image showing a math problem
Find angle PBZ if angle PYZ is 39º
a
93º
b
83º
c
68º
d
20º
e
53º
f
78º