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

This math topic focuses on the calculation of arc lengths in sectors of circles using given sector areas and radius values. It is part of a broader unit on geometry that involves understanding areas of circles, sectors, and segments, commonly referred to as "donuts" in an introductory context. The problems specifically challenge learners to find the correct arc length from multiple choice options, requiring the application of formulas that relate the area of a sector to its arc length. This involves key geometry and algebra skills suitable for learners looking to deepen their understanding of circle geometry.

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 (Equation) Worksheet

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

Find the arc length of the green shaded sector with area 25/9 π in a circle of radius 5

a

b

c

d

e

2

Find the arc length of the green shaded sector with area 4/9 π in a circle of radius 2

a

b

c

d

e

3

Find the arc length of the green shaded sector with area 16/5 π in a circle of radius 4

a

b

c

d

e

4

Find the arc length of the green shaded sector with area 4 π in a circle of radius 6

a

b

c

d

e

5

Find the arc length of the green shaded sector with area 25/3 π in a circle of radius 5

a

b

c

d

e

6

Find the arc length of the green shaded sector with area 4/3 π in a circle of radius 2

a

b

c

d

e

7

Find the arc length of the green shaded sector with area 9/2 π in a circle of radius 6

a

b

c

d

e