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

This math topic involves calculating the arc length of a circle sector given its area and radius, rounding answers to the closest integer. Each question provides the area of the sector and the radius of the circle, and multiple choice answers are offered for the estimated arc length. This topic is an introduction to more complex concepts related to circle areas, sectors, and related geometric constructions. Students are essentially tested on their understanding and application of key geometry formulas related to circles.

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

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

Math worksheet on 'Area of a Circle Sector From Area to Arc Length (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

A sector with area 28.27 in a circle of radius 6 has what the arc length (to the closest integer)?

a

5

b

9

c

13

d

7

e

11

f

12

2

A sector with area 84.82 in a circle of radius 6 has what the arc length (to the closest integer)?

a

30

b

26

c

32

d

29

e

31

f

28

3

A sector with area 12.57 in a circle of radius 4 has what the arc length (to the closest integer)?

a

9

b

6

c

10

d

7

e

3

f

4

4

A sector with area 39.27 in a circle of radius 5 has what the arc length (to the closest integer)?

a

16

b

17

c

14

d

15

e

12

f

18

5

A sector with area 1.57 in a circle of radius 1 has what the arc length (to the closest integer)?

a

6

b

5

c

2

d

1

e

4

f

3

6

A sector with area 0.79 in a circle of radius 1 has what the arc length (to the closest integer)?

a

6

b

3

c

2

d

5

e

4

f

1

7

A sector with area 14.14 in a circle of radius 3 has what the arc length (to the closest integer)?

a

12

b

8

c

6

d

9

e

11

f

13