This math topic focuses on calculating the sector angle of a circle based on a fraction of the circumference. Practiced across several questions, it involves translating fractional parts of a circle's circumference into corresponding sector angles in degrees. The problems are designed as multiple-choice questions, with each presenting a specific fraction and several possible answers for the angle. Through these exercises, learners engage with basic concepts of geometry, specifically pertaining to the properties of circles and their segments. This not only reinforces angle calculations but also deepens understanding of how circle measurements relate to real-world scenarios.

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

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Circumference of a Part Circle - Fraction to Angle Worksheet

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Math worksheet on 'Circumference of a Part Circle - Fraction to Angle (Level 1)'. Part of a broader unit on 'Geometry - Circle Partial Area and Circumference - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_partial_perimeter_area_intro/
1
An svg image showing a math problem
What is the sector angle if it contains 3/4 of the circumference?
a
135º
b
270º
c
240º
d
90º
e
120º
f
360º
2
An svg image showing a math problem
What is the sector angle if it contains 3/5 of the circumference?
a
216º
b
90º
c
45º
d
360º
e
270º
f
135º
3
An svg image showing a math problem
What is the sector angle if it contains 1/4 of the circumference?
a
36º
b
540º
c
360º
d
216º
e
90º
f
45º
4
An svg image showing a math problem
What is the sector angle if it contains 1/5 of the circumference?
a
36º
b
540º
c
60º
d
144º
e
72º
f
135º
5
An svg image showing a math problem
What is the sector angle if it contains 2/3 of the circumference?
a
360º
b
240º
c
120º
d
270º
e
108º
f
36º
6
An svg image showing a math problem
What is the sector angle if it contains 2/3 of the circumference?
a
120º
b
72º
c
360º
d
135º
e
240º
f
45º
7
An svg image showing a math problem
What is the sector angle if it contains 1/3 of the circumference?
a
270º
b
240º
c
108º
d
144º
e
90º
f
120º