Inscribed Angle from Central (Level 2)

This math topic focuses on the geometry of circles, specifically the relationship between inscribed angles and their corresponding central angles. It challenges learners to calculate the measures of various inscribed angles based on given central angles within different circle configurations. The problems are presented with multiple-choice answers, enabling practice in applying geometric principles to solve for unknown angles in a circle's context at an intermediate level. This practice is part of a broader introductory unit on intermediate geometry.

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

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Geometry of Circles - Inscribed Angle from Central Worksheet

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Geometry of Circles - Inscribed Angle from Central
1
An svg image showing a math problem
Find angle BXR if angle BCR is 37.5º
a
50º
b
70º
c
55º
d
80º
e
19º
f
75º
2
An svg image showing a math problem
Find angle PXR if angle PDR is 21.5º
a
18º
b
53º
c
11º
d
38º
e
43º
f
28º
3
An svg image showing a math problem
Find angle NXD if angle NZD is 19.5º
a
49º
b
54º
c
39º
d
19º
e
10º
f
44º
4
An svg image showing a math problem
Find angle ZNP if angle ZMP is 55.5º
a
126º
b
131º
c
28º
d
121º
e
111º
f
101º
5
An svg image showing a math problem
Find angle DPB if angle DNB is 57.5º
a
115º
b
29º
c
110º
d
135º
e
120º
f
130º
6
An svg image showing a math problem
Find angle XDP if angle XCP is 25.5º
a
51º
b
56º
c
31º
d
61º
e
13º
f
66º
7
An svg image showing a math problem
Find angle RBY if angle RZY is 59.5º
a
109º
b
119º
c
30º
d
99º
e
94º
f
139º
8
An svg image showing a math problem
Find angle MPY if angle MDY is 59.5º
a
139º
b
30º
c
124º
d
119º
e
134º
f
104º