This math topic focuses on calculating the area of circle sectors using given angles and radii. It is a part of a broader unit on geometry, specifically dealing with circles, sectors, and related concepts, intended for learners striving to understand spatial properties and their calculations in circular contexts. The exercises require the student to find the sector area in terms of π for sectors with various angles and circle radii, helping enhance their understanding of how changes in angle and radius affect the sector area. The exercises include multiple-choice answers for each problem, allowing students to practice and verify their computational skills.

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 Angle to Area (Equation) Worksheet

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Area of a Circle Sector From Angle to Area (Equation)
1
Find the area (in terms of π) of the green shaded sector with an angle of 135º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 31 over 2 Pi
b A LaTex expression showing 13 over 4 Pi
c A LaTex expression showing 103 over 8 Pi
d A LaTex expression showing 75 over 8 Pi
2
Find the area (in terms of π) of the green shaded sector with an angle of 160º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 22 over 9 Pi
b A LaTex expression showing 70 over 9 Pi
c A LaTex expression showing 64 over 9 Pi
d A LaTex expression showing 52 over 9 Pi
e A LaTex expression showing 100 over 9 Pi
3
Find the area (in terms of π) of the green shaded sector with an angle of 300º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 28 over 3 Pi
b A LaTex expression showing 68 over 3 Pi
c A LaTex expression showing 40 over 3 Pi
d A LaTex expression showing 8 over 3 Pi
e A LaTex expression showing 32 over 3 Pi
4
Find the area (in terms of π) of the green shaded sector with an angle of 144º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 32 over 5 Pi
b A LaTex expression showing 53 over 5 Pi
c A LaTex expression showing 23 over 5 Pi
d A LaTex expression showing 56 over 5 Pi
e A LaTex expression showing 1Pi
5
Find the area (in terms of π) of the green shaded sector with an angle of 120º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 19 over 3 Pi
b A LaTex expression showing 29 over 3 Pi
c A LaTex expression showing 43 over 3 Pi
d A LaTex expression showing 25 over 3 Pi
e A LaTex expression showing 5 over 3 Pi
6
Find the area (in terms of π) of the green shaded sector with an angle of 225º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 73 over 8 Pi
b A LaTex expression showing 53 over 8 Pi
c A LaTex expression showing 37 over 8 Pi
d A LaTex expression showing 45 over 8 Pi
e A LaTex expression showing 5 over 8 Pi
7
Find the area (in terms of π) of the green shaded sector with an angle of 320º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 31 over 3 Pi
b A LaTex expression showing 38 over 3 Pi
c A LaTex expression showing 8Pi
d A LaTex expression showing 58 over 9 Pi
8
Find the area (in terms of π) of the green shaded sector with an angle of 225º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 5 over 8 Pi
b A LaTex expression showing 77 over 8 Pi
c A LaTex expression showing 125 over 8 Pi
d A LaTex expression showing 29 over 8 Pi
e A LaTex expression showing 41 over 8 Pi