Area of a Circle Sector From Angle to Area (Equation) (Level 2)

This math topic covers the calculation of the area of a circle sector using the sector angle and radius measurements. Specifically, students learn to express the sector area formula and solve problems related to determining the area of sectors in terms of pi (π). The questions range in complexity, involving different sector angles and various circle radii. The topic is situated within a broader geometry unit that deals with circle areas, sectors, and introductory concepts relevant to these shapes.

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 60º in the circle with radius 2

60 degr=2

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 2)'. 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 40º in the circle with radius 2
An svg image showing a math problem
a A LaTex expression showing 11 over 9 Pi
b A LaTex expression showing 1 over 3 Pi
c A LaTex expression showing 4 over 9 Pi
d A LaTex expression showing 5 over 9 Pi
e A LaTex expression showing 2 over 9 Pi
2
Find the area (in terms of π) of the green shaded sector with an angle of 40º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 16 over 9 Pi
b A LaTex expression showing 11 over 9 Pi
c A LaTex expression showing 19 over 9 Pi
d A LaTex expression showing 10 over 9 Pi
e A LaTex expression showing 8 over 3 Pi
3
Find the area (in terms of π) of the green shaded sector with an angle of 72º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 16 over 5 Pi
b A LaTex expression showing 13 over 5 Pi
c A LaTex expression showing 24 over 5 Pi
d A LaTex expression showing 17 over 5 Pi
4
Find the area (in terms of π) of the green shaded sector with an angle of 72º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 5Pi
b A LaTex expression showing 37 over 5 Pi
c A LaTex expression showing 13 over 5 Pi
d A LaTex expression showing 7 over 5 Pi
e A LaTex expression showing 29 over 5 Pi
5
Find the area (in terms of π) of the green shaded sector with an angle of 72º in the circle with radius 2
An svg image showing a math problem
a A LaTex expression showing 6 over 5 Pi
b A LaTex expression showing 1Pi
c A LaTex expression showing 4 over 5 Pi
d A LaTex expression showing 8 over 5 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 2Pi
b A LaTex expression showing 8 over 3 Pi
c A LaTex expression showing 7 over 3 Pi
d A LaTex expression showing 16 over 3 Pi
e A LaTex expression showing 19 over 3 Pi
7
Find the area (in terms of π) of the green shaded sector with an angle of 40º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 5 over 9 Pi
b A LaTex expression showing 2 over 9 Pi
c A LaTex expression showing 2 over 3 Pi
d A LaTex expression showing 1Pi