Area of a Circle Sector From Angle to Area (Equation) (Level 3)

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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Circle Sector From Angle to Area (Equation)

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Find the area (in terms of π) of the green shaded sector with an angle of 135º in the circle with radius 5

135 degr=5

Area of a Circle Sector From Angle to Area (Equation) Worksheet

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Math worksheet on 'Area of a Circle Sector From Angle to Area (Equation) (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
Find the area (in terms of π) of the green shaded sector with an angle of 80º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 1Pi
b A LaTex expression showing 3Pi
c A LaTex expression showing 2Pi
d A LaTex expression showing 25 over 9 Pi
e A LaTex expression showing 19 over 9 Pi
2
Find the area (in terms of π) of the green shaded sector with an angle of 60º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 3 over 2 Pi
b A LaTex expression showing 13 over 6 Pi
c A LaTex expression showing 5 over 6 Pi
d A LaTex expression showing 2Pi
e A LaTex expression showing 11 over 6 Pi
3
Find the area (in terms of π) of the green shaded sector with an angle of 200º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 80 over 9 Pi
b A LaTex expression showing 104 over 9 Pi
c A LaTex expression showing 64 over 9 Pi
d A LaTex expression showing 32 over 3 Pi
e A LaTex expression showing 32 over 9 Pi
4
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 65 over 6 Pi
b A LaTex expression showing 25 over 3 Pi
c A LaTex expression showing 35 over 6 Pi
d A LaTex expression showing 25 over 2 Pi
e A LaTex expression showing 15 over 2 Pi
5
Find the area (in terms of π) of the green shaded sector with an angle of 280º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 3Pi
b A LaTex expression showing 7Pi
c A LaTex expression showing 25 over 3 Pi
d A LaTex expression showing 31 over 3 Pi
e A LaTex expression showing 23 over 3 Pi
6
Find the area (in terms of π) of the green shaded sector with an angle of 120º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 80 over 9 Pi
b A LaTex expression showing 56 over 9 Pi
c A LaTex expression showing 32 over 9 Pi
d A LaTex expression showing 64 over 9 Pi
e A LaTex expression showing 16 over 3 Pi
7
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 17 over 2 Pi
b A LaTex expression showing 75 over 8 Pi
c A LaTex expression showing 131 over 8 Pi
d A LaTex expression showing 5Pi