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

The math topic focuses on calculating the area of a circle sector given the arc length and the radius of the circle. It is a specialized Geometry section dealing with circle area, sectors, and related problems (termed as "Sectors and Donuts - Intro"). The participants are provided with specific arc lengths and radii for various questions, and they must apply the related geometric formulas to determine the area of the shaded sectors, expressed in terms of π. Each question has multiple choice answers, requiring calculation and understanding of circle geometry to select the correct option.

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

a

b

c

d

e

2

Find the area (in terms of π) of the green shaded sector with an arc length of 15/4 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 9/4 pi in the circle with radius 3

a

b

c

d

e

4

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

a

b

c

d

5

Find the area (in terms of π) of the green shaded sector with an arc length of 20/3 pi in the circle with radius 4

a

b

c

d

6

Find the area (in terms of π) of the green shaded sector with an arc length of 32/9 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 70/9 pi in the circle with radius 5

a

b

c

d

e