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

This math topic focuses on calculating the area of a circle sector, involving the application of the formula that associates the sector's angle with its area, in a context of varying radii and angles. The questions require determining the sector area in terms of π for specific angles—ranging from 90° to 270°—and for circles with different radii. Options for the area calculation are provided, allowing for practice in applying the formula and enhancing understanding of geometry concepts 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 Angle to Area (Equation) Worksheet

Math worksheet on 'Area of a Circle Sector From Angle 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 angle of 270º in the circle with radius 4

a

b

c

d

e

2

Find the area (in terms of π) of the green shaded sector with an angle of 270º in the circle with radius 3

a

b

c

d

e

3

Find the area (in terms of π) of the green shaded sector with an angle of 180º in the circle with radius 4

a

b

c

d

e

4

Find the area (in terms of π) of the green shaded sector with an angle of 180º in the circle with radius 3

a

b

c

d

5

Find the area (in terms of π) of the green shaded sector with an angle of 270º 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 angle of 90º in the circle with radius 5

a

b

c

d

7

Find the area (in terms of π) of the green shaded sector with an angle of 180º in the circle with radius 5

a

b

c

d

e