Area of a Circle Sector From Area to Arc Length (Closest Integer) (Level 2)

This math topic focuses on calculating the arc length of a sector in a circle given the sector's area and the circle's radius. It requires the application of formulas related to circle geometry, specifically those involving the area of a sector and the calculation of arc length. This advanced practice is useful for comprehending circle metrics and relationships, which fall under a broader unit on geometry that covers circle areas, sectors, and donut shapes. The exercises entail deriving arc lengths to the closest integer, enhancing skills in both geometric understanding and approximation.

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 2)'. 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 26.18 in a circle of radius 5 has what the arc length (to the closest integer)?

a

10

b

7

c

6

d

13

e

8

f

14

2

A sector with area 9.42 in a circle of radius 3 has what the arc length (to the closest integer)?

a

9

b

5

c

6

d

8

e

4

f

3

3

A sector with area 8.73 in a circle of radius 5 has what the arc length (to the closest integer)?

a

3

b

2

c

7

d

4

e

5

f

1

4

A sector with area 3.14 in a circle of radius 3 has what the arc length (to the closest integer)?

a

3

b

6

c

2

d

0

e

5

f

1

5

A sector with area 2.09 in a circle of radius 2 has what the arc length (to the closest integer)?

a

1

b

3

c

0

d

5

e

4

f

2

6

A sector with area 10.05 in a circle of radius 4 has what the arc length (to the closest integer)?

a

3

b

1

c

7

d

2

e

8

f

5

7

A sector with area 14.14 in a circle of radius 6 has what the arc length (to the closest integer)?

a

4

b

3

c

1

d

7

e

5

f

9