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

This math topic involves finding the sector angle of a circle given the area of the sector and the radius. It is aptly placed under the broader unit of geometry focusing on circle sectors and their properties. The problems require converting a known area of a circle sector into the corresponding angle in degrees, rounding to the nearest integer. Each question features multiple-choice answers, enhancing estimation and calculation skills as participants deduce the sector angle from the given parameters. These exercises are practical for understanding relationships between different circular segment measurements.

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

Area of a Circle Sector From Area to Angle (Closest Integer) Worksheet

Math worksheet on 'Area of a Circle Sector From Area to Angle (Closest Integer) (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

A sector with area 42.41 in a circle of radius 6 has what sector angle?

a

330º

b

655º

c

255º

d

135º

e

200º

f

525º

2

A sector with area 12.57 in a circle of radius 3 has what sector angle?

a

640º

b

160º

c

240º

d

400º

e

880º

f

80º

3

A sector with area 11.31 in a circle of radius 3 has what sector angle?

a

136º

b

774º

c

4º

d

144º

e

214º

f

556º

4

A sector with area 15.71 in a circle of radius 5 has what sector angle?

a

68º

b

138º

c

103º

d

2º

e

387º

f

72º

5

A sector with area 68.72 in a circle of radius 5 has what sector angle?

a

150º

b

315º

c

460º

d

1,555º

e

305º

f

780º

6

A sector with area 75.4 in a circle of radius 6 has what sector angle?

a

240º

b

960º

c

720º

d

840º

e

1,320º

f

120º

7

A sector with area 90.48 in a circle of radius 6 has what sector angle?

a

972º

b

692º

c

1,548º

d

288º

e

412º

f

132º