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

This math topic focuses on the concept of finding the area of a circle sector from an arc length to an area. It forms a part of the broader unit on Geometry, specifically the area of circles, sectors, and donuts. The skills practiced include understanding and calculating the area of a sector of a circle based on the arc length and the radius of the circle. Various practice problems are given with different radii and arc lengths to calculate the area of corresponding sectors.

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

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

Math worksheet on 'Area of a Circle Sector From Arc Length to Area (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 area (in terms of π) of the green shaded sector with an arc length of 3/2 pi in the circle with radius 6

a

b

c

d

2

Find the area (in terms of π) of the green shaded sector with an arc length of 10/9 pi in the circle with radius 5

a

b

c

d

e

3

Find the area (in terms of π) of the green shaded sector with an arc length of 4/3 pi in the circle with radius 6

a

b

c

d

4

Find the area (in terms of π) of the green shaded sector with an arc length of 4 pi in the circle with radius 6

a

b

c

d

e

5

Find the area (in terms of π) of the green shaded sector with an arc length of 4/9 pi in the circle with radius 2

a

b

c

d

6

Find the area (in terms of π) of the green shaded sector with an arc length of 8/3 pi in the circle with radius 4

a

b

c

d

e

7

Find the area (in terms of π) of the green shaded sector with an arc length of 2 pi in the circle with radius 3

a

b

c

d

e