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.

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Circle Sector From Area to Angle (Closest Integer)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


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

r=6

?

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

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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 33.51 in a circle of radius 4 has what sector angle?
An svg image showing a math problem
a
360º
b
240º
c
1,200º
d
840º
e
120º
f
960º
2
A sector with area 30.16 in a circle of radius 4 has what sector angle?
An svg image showing a math problem
a
309º
b
729º
c
216º
d
1,056º
e
321º
f
636º
3
An svg image showing a math problem
A sector with area 25.13 in a circle of radius 6 has what sector angle?
a
40º
b
280º
c
160º
d
360º
e
120º
f
80º
4
A sector with area 52.36 in a circle of radius 5 has what sector angle?
An svg image showing a math problem
a
720º
b
960º
c
1,200º
d
840º
e
240º
f
360º
5
A sector with area 39.1 in a circle of radius 4 has what sector angle?
An svg image showing a math problem
a
1,540º
b
1,120º
c
140º
d
280º
e
420º
f
700º
6
A sector with area 98.96 in a circle of radius 6 has what sector angle?
An svg image showing a math problem
a
1,555º
b
1,400º
c
315º
d
160º
e
1,245º
f
1,090º
7
A sector with area 31.42 in a circle of radius 4 has what sector angle?
An svg image showing a math problem
a
1,105º
b
445º
c
775º
d
105º
e
225º
f
875º