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Geometry of Circles - Sector Area - Total Area and Angle to Sector Area (Level 1)

This math topic focuses on calculating the areas of shaded sectors within circles, providing a practical application of geometry concerning circles. The problems require determining the specific area of a sector when given the total area of the circle, engaging with intermediate-level geometry concepts and helping to enhance calculation and spatial reasoning skills.

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

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Sector Area - Total Area and Angle to Sector Area

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If the total area of the circle is 24, what is the area of the shaded sector?

120 deg

Geometry of Circles - Sector Area - Total Area and Angle to Sector Area Worksheet

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Math worksheet on 'Geometry of Circles - Sector Area - Total Area and Angle to Sector Area (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/
1
An svg image showing a math problem
If the total area of the circle is 84, what is the area of the shaded sector?
a
8
b
9
c
4
d
7
e
6
f
5
2
An svg image showing a math problem
If the total area of the circle is 36, what is the area of the shaded sector?
a
5
b
6
c
8
d
3
e
9
f
7
3
An svg image showing a math problem
If the total area of the circle is 2, what is the area of the shaded sector?
a
2
b
3
c
1
4
An svg image showing a math problem
If the total area of the circle is 12, what is the area of the shaded sector?
a
3
b
1
c
2
d
4
e
5
f
0
5
An svg image showing a math problem
If the total area of the circle is 2, what is the area of the shaded sector?
a
3
b
2
c
1
d
0
e
4
6
An svg image showing a math problem
If the total area of the circle is 12, what is the area of the shaded sector?
a
2
b
3
c
1
d
0
7
An svg image showing a math problem
If the total area of the circle is 9, what is the area of the shaded sector?
a
1
b
2
c
5
d
4
e
3
f
0