Geometry of Circles - Sector Area - Sector Area and Angle to Total Area (Level 2)

This math topic is centered on the geometry of circles, specifically calculating the total area of a circle from the area of a sector. For each problem, students are given the area of a shaded sector and must determine the full area of the circle from a set of multiple-choice options. This topic falls under an intermediate level geometry practice and helps to reinforce understanding of circle geometry and the relation between the sector and total area.

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

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

Math worksheet on 'Geometry of Circles - Sector Area - Sector Area and Angle to Total Area (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/

1

If the area of the shaded sector of the circle is 1, what is the total area?

a

6

b

4

c

1

d

0

e

5

f

7

2

If the area of the shaded sector of the circle is 2, what is the total area?

a

4

b

3

c

6

d

2

e

7

f

1

3

If the area of the shaded sector of the circle is 1, what is the total area?

a

5

b

2

c

7

d

3

e

4

f

1

4

If the area of the shaded sector of the circle is 8, what is the total area?

a

49

b

47

c

48

d

50

e

46

f

45

5

If the area of the shaded sector of the circle is 5, what is the total area?

a

32

b

30

c

29

d

31

e

33

f

26

6

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

a

15

b

12

c

9

d

10

e

11

f

14

7

If the area of the shaded sector of the circle is 4, what is the total area?

a

11

b

9

c

15

d

10

e

8

f

12