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.

more
View

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

Mobius Math Academy logo
Area of a Circle Sector From Area to Angle (Closest Integer)
1
An svg image showing a math problem
A sector with area 16.76 in a circle of radius 4 has what sector angle?
a
180º
b
300º
c
600º
d
120º
e
60º
f
360º
2
An svg image showing a math problem
A sector with area 1.57 in a circle of radius 2 has what sector angle?
a
95º
b
35º
c
45º
d
105º
e
55º
f
65º
3
An svg image showing a math problem
A sector with area 1.4 in a circle of radius 2 has what sector angle?
a
160º
b
80º
c
200º
d
20º
e
40º
f
100º
4
An svg image showing a math problem
A sector with area 5.59 in a circle of radius 4 has what sector angle?
a
120º
b
160º
c
100º
d
80º
e
40º
f
220º
5
An svg image showing a math problem
A sector with area 3.53 in a circle of radius 3 has what sector angle?
a
65º
b
165º
c
145º
d
205º
e
225º
f
45º
6
An svg image showing a math problem
A sector with area 6.28 in a circle of radius 4 has what sector angle?
a
225º
b
75º
c
115º
d
45º
e
f
95º
7
An svg image showing a math problem
A sector with area 14.14 in a circle of radius 6 has what sector angle?
a
45º
b
125º
c
115º
d
e
95º
f
85º
8
An svg image showing a math problem
A sector with area 8.38 in a circle of radius 4 has what sector angle?
a
330º
b
90º
c
180º
d
60º
e
240º
f
120º