Inscribed Angle from Diameter (Level 1)

This math topic covers problems related to the "Geometry of Circles," specifically focusing on the concept of inscribed angles that originate from a diameter. The skill practiced involves finding the measure of angles that are inscribed by the endpoints of a diameter, a fundamental concept in circle geometry. Each problem presents a different setup involving a circle with a designated diameter and an angle measure to be determined, providing variety in applying the inscribed angle theorem. The worksheet includes multiple-choice answers for students to select their response based on their geometric calculations.

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 Diameter Worksheet

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Geometry of Circles - Inscribed Angle from Diameter
1
An svg image showing a math problem
Find angle PYR in degrees given that PR forms a diameter
a
150º
b
90º
c
60º
d
30º
e
135º
f
45º
2
An svg image showing a math problem
Find angle RBY in degrees given that RY forms a diameter
a
105º
b
150º
c
180º
d
90º
e
30º
f
60º
3
An svg image showing a math problem
Find angle CXN in degrees given that CN forms a diameter
a
75º
b
90º
c
180º
d
165º
e
30º
f
45º
4
An svg image showing a math problem
Find angle XRP in degrees given that XP forms a diameter
a
150º
b
30º
c
135º
d
90º
e
45º
f
120º
5
An svg image showing a math problem
Find angle CMZ in degrees given that CZ forms a diameter
a
90º
b
75º
c
150º
d
45º
e
60º
f
135º
6
An svg image showing a math problem
Find angle BND in degrees given that BD forms a diameter
a
90º
b
75º
c
120º
d
45º
e
15º
f
105º
7
An svg image showing a math problem
Find angle CBM in degrees given that CM forms a diameter
a
135º
b
15º
c
150º
d
90º
e
30º
f
120º
8
An svg image showing a math problem
Find angle DRZ in degrees given that DZ forms a diameter
a
90º
b
45º
c
15º
d
120º
e
165º
f
60º