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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Math worksheet on 'Geometry of Circles - Intersected Arc from Inscribed Angle (Level 2)'. 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 the length (in degrees) of intersected arc MX if angle MDX is 36.5º
a
83º
b
73º
c
53º
d
93º
e
88º
f
18º
2
An svg image showing a math problem
Find the length (in degrees) of intersected arc ZC if angle ZYC is 38.5º
a
57º
b
52º
c
67º
d
82º
e
77º
f
19º
3
An svg image showing a math problem
Find the length (in degrees) of intersected arc ZX if angle ZRX is 18.5º
a
22º
b
57º
c
d
37º
e
42º
f
47º
4
An svg image showing a math problem
Find the length (in degrees) of intersected arc ZR if angle ZPR is 35.5º
a
56º
b
18º
c
46º
d
81º
e
86º
f
71º
5
An svg image showing a math problem
Find the length (in degrees) of intersected arc CP if angle CDP is 51.5º
a
108º
b
78º
c
93º
d
26º
e
103º
f
88º
6
An svg image showing a math problem
Find the length (in degrees) of intersected arc BM if angle BXM is 44.5º
a
79º
b
109º
c
99º
d
89º
e
22º
f
84º
7
An svg image showing a math problem
Find the length (in degrees) of intersected arc MZ if angle MYZ is 31.5º
a
53º
b
48º
c
58º
d
16º
e
63º
f
73º