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

This math topic focuses on calculating the area of a circle's sector given its arc length and the circle's radius. It involves using the sector area formula, leveraging the relationship between the arc length, the radius, and the central angle to solve for the area. The problems vary in difficulty and test the ability to manipulate and solve equations involving π (pi). Students are required to think analytically, understand the geometry of circles, and apply formulas appropriately to determine the shaded sector's area in several scenarios with different radius and arc length values.

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 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 area (in terms of π) of the green shaded sector with an arc length of 15/2 pi in the circle with radius 5

a

b

c

d

e

2

Find the area (in terms of π) of the green shaded sector with an arc length of 1 pi in the circle with radius 1

a

b

c

d

3

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

a

b

c

d

4

Find the area (in terms of π) of the green shaded sector with an arc length of 9/2 pi in the circle with radius 3

a

b

c

d

e

5

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

a

b

c

d

e

6

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

a

b

c

d

e

7

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

a

b

c

d

e