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.

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

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Area of a Circle Sector From Area to Angle (Closest Integer)
1
An svg image showing a math problem
A sector with area 56.55 in a circle of radius 6 has what sector angle?
a
450º
b
90º
c
810º
d
540º
e
180º
f
360º
2
An svg image showing a math problem
A sector with area 58.9 in a circle of radius 5 has what sector angle?
a
135º
b
405º
c
810º
d
270º
e
540º
f
945º
3
An svg image showing a math problem
A sector with area 28.27 in a circle of radius 6 has what sector angle?
a
180º
b
315º
c
495º
d
90º
e
225º
f
270º
4
A sector with area 84.82 in a circle of radius 6 has what sector angle?
An svg image showing a math problem
a
405º
b
810º
c
135º
d
270º
e
540º
f
1,350º
5
An svg image showing a math problem
A sector with area 25.13 in a circle of radius 4 has what sector angle?
a
990º
b
630º
c
360º
d
180º
e
90º
f
720º
6
An svg image showing a math problem
A sector with area 19.63 in a circle of radius 5 has what sector angle?
a
90º
b
360º
c
135º
d
225º
e
315º
f
495º
7
An svg image showing a math problem
A sector with area 1.57 in a circle of radius 1 has what sector angle?
a
270º
b
180º
c
990º
d
810º
e
630º
f
360º
8
An svg image showing a math problem
A sector with area 0.79 in a circle of radius 1 has what sector angle?
a
90º
b
315º
c
135º
d
450º
e
270º
f
225º