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

This math topic focuses on calculating the sector angle of a circle from the given sector area, practicing the inverse application of the circle sector area formula. Each question requires students to determine the sector angle when the sector's area and the circle's radius are provided. This is encapsulated within a broader introduction to geometrical concepts involving circle areas, sectors, and what might whimsically be referred to as "donuts." The challenges are structured to enable students to apply formulae and reasoning to solve geometric problems regarding circle sectors.

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

Area of a Circle Sector From Area to Angle (Equation) Worksheet

Math worksheet on 'Area of a Circle Sector From Area to Angle (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 sector angle for a sector with area 8/3 π in a circle of radius 4

a

240º

b

90º

c

120º

d

270º

e

30º

f

60º

2

Find the sector angle for a sector with area 9/8 π in a circle of radius 3

a

205º

b

75º

c

45º

d

155º

e

95º

f

125º

3

Find the sector angle for a sector with area 1 π in a circle of radius 3

a

20º

b

60º

c

80º

d

40º

e

200º

f

160º

4

Find the sector angle for a sector with area 12 π in a circle of radius 6

a

300º

b

660º

c

480º

d

120º

e

360º

f

180º

5

Find the sector angle for a sector with area 36/5 π in a circle of radius 6

a

247º

b

208º

c

68º

d

33º

e

2º

f

72º

6

Find the sector angle for a sector with area 4/9 π in a circle of radius 2

a

120º

b

100º

c

40º

d

20º

e

160º

f

200º

7

Find the sector angle for a sector with area 16/5 π in a circle of radius 4

a

103º

b

317º

c

107º

d

177º

e

72º

f

247º