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

This math topic focuses on finding the sector angle of a circle when given the sector area and the circle's radius. It consists of multiple-choice questions where students are required to calculate the corresponding angle, estimating their answers to the closest integer option provided. This practice emphasizes geometric understanding and application related to sectors of circles, enhancing skills in using formulas for circle sectors in practical scenarios. The exercises are interconnected with the broader concepts of circle area, which also include other circular shapes like donuts within introductory 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 (Closest Integer) Worksheet

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

A sector with area 19.63 in a circle of radius 5 has what sector angle?

a

315º

b

90º

c

405º

d

360º

e

495º

f

225º

2

A sector with area 37.7 in a circle of radius 4 has what sector angle?

a

405º

b

810º

c

1,215º

d

540º

e

945º

f

270º

3

A sector with area 0.79 in a circle of radius 1 has what sector angle?

a

90º

b

270º

c

135º

d

495º

e

180º

f

225º

4

A sector with area 25.13 in a circle of radius 4 has what sector angle?

a

180º

b

90º

c

720º

d

900º

e

450º

f

810º

5

A sector with area 21.21 in a circle of radius 3 has what sector angle?

a

1,485º

b

810º

c

1,080º

d

945º

e

270º

f

405º

6

A sector with area 9.42 in a circle of radius 2 has what sector angle?

a

270º

b

810º

c

675º

d

135º

e

1,485º

f

405º

7

A sector with area 58.9 in a circle of radius 5 has what sector angle?

a

1,080º

b

135º

c

1,485º

d

810º

e

270º

f

675º