Intersected Arc from Inscribed Angle (Level 2)

This math topic focuses on calculating the lengths of intersected arcs within circles, determined from provided inscribed angles. It encompasses a series of problems where each asks to find the arc length in degrees based on a given angle. Each problem provides multiple-choice answers. This topic is part of an intermediate introduction to geometry, specifically dealing with the geometry of circles. Each question includes a visual representation (diagram) of the circle with marked arcs and angles to aid in solving the problem.

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

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Geometry of Circles - Intersected Arc from Inscribed Angle Worksheet

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Geometry of Circles - Intersected Arc from Inscribed Angle
1
An svg image showing a math problem
Find the length (in degrees) of intersected arc PR if angle PDR is 38.5º
a
72º
b
87º
c
77º
d
97º
e
19º
f
67º
2
An svg image showing a math problem
Find the length (in degrees) of intersected arc CP if angle CDP is 51.5º
a
78º
b
88º
c
108º
d
93º
e
103º
f
26º
3
An svg image showing a math problem
Find the length (in degrees) of intersected arc NY if angle NMY is 20.5º
a
21º
b
61º
c
10º
d
46º
e
16º
f
41º
4
An svg image showing a math problem
Find the length (in degrees) of intersected arc MX if angle MDX is 36.5º
a
93º
b
83º
c
73º
d
88º
e
18º
f
53º
5
An svg image showing a math problem
Find the length (in degrees) of intersected arc XD if angle XMD is 19.5º
a
39º
b
24º
c
29º
d
34º
e
49º
f
10º
6
An svg image showing a math problem
Find the length (in degrees) of intersected arc CZ if angle CDZ is 20.5º
a
61º
b
36º
c
41º
d
46º
e
10º
f
56º
7
An svg image showing a math problem
Find the length (in degrees) of intersected arc ZR if angle ZPR is 35.5º
a
86º
b
18º
c
71º
d
81º
e
46º
f
56º
8
An svg image showing a math problem
Find the length (in degrees) of intersected arc CD if angle CBD is 19.5º
a
49º
b
39º
c
24º
d
19º
e
14º
f
10º