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

This topic covers the calculation of the total area of a circle based on the given area of a shaded sector and invites students to use their understanding of the relationship between a sector's area and the circle's total area. Learners solve multiple-choice questions where they are tasked with identifying the total area of the circle from the provided area of a sector and a list of possible circle areas. The questions enhance intermediate level geometry skills focused on circle properties, particularly sector calculation.

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

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Sector Area - Sector Area and Angle to Total Area

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If the area of the shaded sector of the circle is 3, what is the total area?

120 deg

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

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Math worksheet on 'Geometry of Circles - Sector Area - Sector Area and Angle to Total 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 area of the shaded sector of the circle is 2, what is the total area?
a
6
b
5
c
8
d
2
e
7
f
3
2
An svg image showing a math problem
If the area of the shaded sector of the circle is 1, what is the total area?
a
4
b
5
c
1
d
2
e
0
f
3
3
An svg image showing a math problem
If the area of the shaded sector of the circle is 6, what is the total area?
a
21
b
22
c
20
d
23
e
26
f
24
4
An svg image showing a math problem
If the area of the shaded sector of the circle is 6, what is the total area?
a
15
b
21
c
16
d
18
e
17
f
19
5
An svg image showing a math problem
If the area of the shaded sector of the circle is 5, what is the total area?
a
20
b
21
c
19
d
18
e
16
f
22
6
An svg image showing a math problem
If the area of the shaded sector of the circle is 1, what is the total area?
a
3
b
0
c
1
d
2
e
5
f
4
7
An svg image showing a math problem
If the area of the shaded sector of the circle is 5, what is the total area?
a
9
b
10
c
12
d
11
e
8
f
6