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

This math topic focuses on determining the sector angle of a circle given the sector's area and the circle's radius. It is nested within a broader unit on circle geometry, specifically covering areas of circle sectors and related aspects. Through a series of questions, learners are tasked with calculating the angle of a circle sector based on provided areas and radius values, applying the formula \( \theta = \frac{{360 \times (sector\ area)}}{{\pi \times radius^2}} \). Each question presents multiple-choice answers, encouraging hands-on problem-solving within the theme of circle geometry.

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 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 sector angle for a sector with area 125/6 π in a circle of radius 5

a

450º

b

1,350º

c

900º

d

300º

e

1,500º

f

1,050º

2

Find the sector angle for a sector with area 14 π in a circle of radius 4

a

305º

b

315º

c

935º

d

5º

e

1,400º

f

615º

3

Find the sector angle for a sector with area 6 π in a circle of radius 3

a

480º

b

360º

c

840º

d

600º

e

240º

f

960º

4

Find the sector angle for a sector with area 3/2 π in a circle of radius 3

a

240º

b

30º

c

60º

d

90º

e

300º

f

120º

5

Find the sector angle for a sector with area 25/3 π in a circle of radius 5

a

360º

b

540º

c

300º

d

480º

e

120º

f

240º

6

Find the sector angle for a sector with area 125/8 π in a circle of radius 5

a

875º

b

105º

c

655º

d

225º

e

335º

f

5º

7

Find the sector angle for a sector with area 9/2 π in a circle of radius 6

a

155º

b

115º

c

95º

d

85º

e

45º

f

145º