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 240º in the circle with radius 3

240 degr=3

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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 160º in the circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 46 over 9 Pi
b A LaTex expression showing 30Pi
c A LaTex expression showing 16Pi
d A LaTex expression showing 130 over 9 Pi
2
Find the area (in terms of π) of the green shaded sector with an angle of 240º in the circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 10Pi
b A LaTex expression showing 86 over 3 Pi
c A LaTex expression showing 100 over 3 Pi
d A LaTex expression showing 24Pi
e A LaTex expression showing 37 over 3 Pi
3
Find the area (in terms of π) of the green shaded sector with an angle of 240º in the circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 44 over 3 Pi
b A LaTex expression showing 31Pi
c A LaTex expression showing 24Pi
d A LaTex expression showing 107 over 3 Pi
4
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 17 over 6 Pi
b A LaTex expression showing 2 over 3 Pi
c A LaTex expression showing 8 over 3 Pi
d A LaTex expression showing 3 over 2 Pi
5
Find the area (in terms of π) of the green shaded sector with an angle of 40º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 25 over 9 Pi
b A LaTex expression showing 5 over 3 Pi
c A LaTex expression showing 13 over 3 Pi
d A LaTex expression showing 37 over 9 Pi
e A LaTex expression showing 41 over 9 Pi
6
Find the area (in terms of π) of the green shaded sector with an angle of 120º in the circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 46 over 3 Pi
b A LaTex expression showing 158 over 9 Pi
c A LaTex expression showing 12Pi
d A LaTex expression showing 128 over 9 Pi
e A LaTex expression showing 148 over 9 Pi
7
Find the area (in terms of π) of the green shaded sector with an angle of 240º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 25Pi
b A LaTex expression showing 65 over 3 Pi
c A LaTex expression showing 95 over 3 Pi
d A LaTex expression showing 15Pi
e A LaTex expression showing 50 over 3 Pi