Area of a Circle Sector From Area to Arc Length (Equation) (Level 3)

This math topic focuses on calculating the arc length of a circle sector given the sector area and the circle radius. The skill practiced involves applying the formula for the area of a circle sector to find other sector properties (specifically, arc length) in various contexts and circles of different radii. Each question presents a different sector area and circle radius, with multiple-choice answers that represent possible arc lengths calculated from the given data. This topic integrates principles from geometry related to circle sectors.

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 3)'. 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 175/8 π in a circle of radius 5

a

b

c

d

e

2

Find the arc length of the green shaded sector with area 200/9 π in a circle of radius 5

a

b

c

d

e

3

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

a

b

c

d

e

4

Find the arc length of the green shaded sector with area 20 π in a circle of radius 6

a

b

c

d

e

5

Find the arc length of the green shaded sector with area 63/8 π in a circle of radius 3

a

b

c

d

e

6

Find the arc length of the green shaded sector with area 27/5 π in a circle of radius 3

a

b

c

d

e

7

Find the arc length of the green shaded sector with area 108/5 π in a circle of radius 6

a

b

c

d

e