Area of a Circle Sector From Arc Length to Area (Closest Integer) (Level 1)

This math topic focuses on calculating the area of a circle sector given the arc length, rounding the results to the closest integer. It is part of an introductory unit on the geometry of circle areas, sectors, and segments, labeled as "Sectors and Donuts." The problems provide various radii and arc lengths for the circle and ask students to calculate and choose the sector's area from multiple-choice options. This skill blends geometric understanding with practical application and estimation, heightening students' engagement with basic circle geometry.

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

Area of a Circle Sector From Arc Length to Area (Closest Integer) Worksheet

Math worksheet on 'Area of a Circle Sector From Arc Length to Area (Closest Integer) (Level 1)'. Part of a broader unit on 'Geometry - Circle Area, Sectors and Donuts - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_sector_donut_area_logic_intro/

1

Find the area (to the closest integer) of the green shaded sector with an arc length of 1.57 in the circle with radius 1

a

4

b

9

c

8

d

5

e

6

f

1

2

Find the area (to the closest integer) of the green shaded sector with an arc length of 3.14 in the circle with radius 2

a

4

b

3

c

7

d

6

e

1

f

2

3

Find the area (to the closest integer) of the green shaded sector with an arc length of 18.85 in the circle with radius 6

a

97

b

57

c

92

d

77

e

47

f

87

4

Find the area (to the closest integer) of the green shaded sector with an arc length of 4.71 in the circle with radius 3

a

2

b

1

c

5

d

6

e

12

f

7

5

Find the area (to the closest integer) of the green shaded sector with an arc length of 7.85 in the circle with radius 5

a

28

b

34

c

20

d

2

e

6

f

12

6

Find the area (to the closest integer) of the green shaded sector with an arc length of 9.42 in the circle with radius 6

a

42

b

24

c

10

d

30

e

28

f

8

7

Find the area (to the closest integer) of the green shaded sector with an arc length of 9.42 in the circle with radius 3

a

22

b

10

c

14

d

12

e

18

f

8