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

This math topic involves calculating the sector angle of a circle given the sector's area and the circle's radius. It is designed for learners to deepen their understanding of circle geometry, specifically how to derive angles from areas in circular sectors. Each question provides a specific area and radius, and the learner must calculate or select the nearest integer for the sector angle from multiple-choice options. This topic falls under an introductory unit on the geometry of circle areas, sectors, and segments.

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 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

A sector with area 10.05 in a circle of radius 4 has what sector angle?

a

317º

b

72º

c

173º

d

387º

e

33º

f

243º

2

A sector with area 26.18 in a circle of radius 5 has what sector angle?

a

120º

b

600º

c

300º

d

420º

e

480º

f

660º

3

A sector with area 13.09 in a circle of radius 5 has what sector angle?

a

90º

b

300º

c

240º

d

60º

e

150º

f

120º

4

A sector with area 1.4 in a circle of radius 2 has what sector angle?

a

60º

b

80º

c

120º

d

100º

e

40º

f

140º

5

A sector with area 14.14 in a circle of radius 6 has what sector angle?

a

45º

b

135º

c

15º

d

115º

e

5º

f

205º

6

A sector with area 18.85 in a circle of radius 6 has what sector angle?

a

90º

b

150º

c

180º

d

210º

e

60º

f

300º

7

A sector with area 12.57 in a circle of radius 6 has what sector angle?

a

40º

b

80º

c

60º

d

140º

e

100º

f

220º