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

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 involves using the equation relating the area of a sector to its arc length, a key concept in the geometry of circles. Each question presents a different set of values for the area of the sector and the radius of the circle, and students are asked to find the arc length. The topic is designed to help students understand and apply the geometric properties of circles, specifically how to manipulate and use the formula for the length of an arc based on a sector's area.

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 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 arc length of the green shaded sector with area 12 π in a circle of radius 4

a

b

c

d

e

2

Find the arc length of the green shaded sector with area 8 π in a circle of radius 4

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b

c

d

e

3

Find the arc length of the green shaded sector with area 27 π in a circle of radius 6

a

b

c

d

e

4

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

a

b

c

d

e

5

Find the arc length of the green shaded sector with area 1/2 π in a circle of radius 1

a

b

c

d

e

6

Find the arc length of the green shaded sector with area 3/4 π in a circle of radius 1

a

b

c

d

e

7

Find the arc length of the green shaded sector with area 18 π in a circle of radius 6

a

b

c

d

e