This math topic focuses on determining the sector angle of a circle given the sector's area and the circle's radius. It is nested within a broader unit on circle geometry, specifically covering areas of circle sectors and related aspects. Through a series of questions, learners are tasked with calculating the angle of a circle sector based on provided areas and radius values, applying the formula \( \theta = \frac{{360 \times (sector\ area)}}{{\pi \times radius^2}} \). Each question presents multiple-choice answers, encouraging hands-on problem-solving within the theme of circle 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 (Equation) Worksheet

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Area of a Circle Sector From Area to Angle (Equation)
1
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Find the sector angle for a sector with area 32/3 π in a circle of radius 4
a
360º
b
720º
c
840º
d
600º
e
480º
f
240º
2
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Find the sector angle for a sector with area 3 π in a circle of radius 3
a
300º
b
360º
c
60º
d
180º
e
120º
f
480º
3
Find the sector angle for a sector with area 24 π in a circle of radius 6
An svg image showing a math problem
a
720º
b
1,320º
c
120º
d
600º
e
1,080º
f
240º
4
Find the sector angle for a sector with area 30 π in a circle of radius 6
An svg image showing a math problem
a
300º
b
1,050º
c
750º
d
1,350º
e
900º
f
1,650º
5
An svg image showing a math problem
Find the sector angle for a sector with area 24 π in a circle of radius 6
a
120º
b
600º
c
360º
d
240º
e
960º
f
720º
6
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Find the sector angle for a sector with area 10 π in a circle of radius 5
a
424º
b
346º
c
276º
d
144º
e
416º
f
494º
7
Find the sector angle for a sector with area 50/3 π in a circle of radius 5
An svg image showing a math problem
a
960º
b
240º
c
480º
d
600º
e
720º
f
1,080º
8
An svg image showing a math problem
Find the sector angle for a sector with area 16 π in a circle of radius 6
a
240º
b
560º
c
80º
d
480º
e
160º
f
400º