This math topic involves calculating the full sector angle of a circle given the fraction of the sector that is shaded. It is an introductory part of a unit on circle geometry, specifically focusing on partial areas and circumferences of circles. Students are provided with images of shaded sectors and asked to identify the total angle of the segment from multiple-choice options. The fractions used vary, including 2/5, 1/4, 2/3, 2/4, 1/3, and 3/4 of the circle. This helps build skills in understanding the relationship between fractions, angles, and circular sectors.

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

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Area of a Part Circle - Fraction to Angle Worksheet

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Math worksheet on 'Area 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 1/4 of it is shaded?
a
360º
b
60º
c
270º
d
90º
e
120º
f
72º
2
An svg image showing a math problem
What is the sector angle if 4/5 of it is shaded?
a
45º
b
60º
c
120º
d
240º
e
360º
f
288º
3
An svg image showing a math problem
What is the sector angle if 1/5 of it is shaded?
a
72º
b
36º
c
90º
d
120º
e
45º
f
360º
4
An svg image showing a math problem
What is the sector angle if 2/5 of it is shaded?
a
36º
b
144º
c
45º
d
216º
e
72º
f
90º
5
An svg image showing a math problem
What is the sector angle if 1/4 of it is shaded?
a
270º
b
90º
c
72º
d
144º
e
216º
f
240º
6
An svg image showing a math problem
What is the sector angle if 2/3 of it is shaded?
a
144º
b
540º
c
72º
d
60º
e
120º
f
240º
7
An svg image showing a math problem
What is the sector angle if 2/3 of it is shaded?
a
72º
b
360º
c
216º
d
270º
e
240º
f
60º