Area of a Circle Sector From Fraction to Area (Equation)

Level 2

This math topic focuses on calculating the areas of circle sectors, expressed in terms of π, where the portion of the circle is given as a fraction, and the radius is specified. Through multiple choice questions, students practice finding sector areas for circles with various radii and fractional portions, integrating concepts from geometry, notably involving circle areas, sectors, and understanding fractional parts of circles. These exercises help students develop fluency with practical application of the circle sector area formula \( Area = \frac{1}{2} \times radius^2 \times \theta \), where \( \theta \) is the angle in radians corresponding to the sector.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Circle Sector From Fraction to Area (Equation)

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Find the area (in terms of π) of the green shaded sector that covers 1/9 of the circle with radius 6

r=6

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

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Math worksheet on 'Area of a Circle Sector From Fraction 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
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/8 of the circle with radius 2
a A LaTex expression showing 11 over 8 Pi
b A LaTex expression showing 3 over 4 Pi
c A LaTex expression showing 3 over 8 Pi
d A LaTex expression showing 1 over 2 Pi
e A LaTex expression showing 3 over 2 Pi
2
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/5 of the circle with radius 6
a A LaTex expression showing 6 over 5 Pi
b A LaTex expression showing 12 over 5 Pi
c A LaTex expression showing 27 over 5 Pi
d A LaTex expression showing 36 over 5 Pi
e A LaTex expression showing 18 over 5 Pi
3
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/8 of the circle with radius 6
a A LaTex expression showing 15 over 4 Pi
b A LaTex expression showing 9 over 2 Pi
c A LaTex expression showing 3 over 4 Pi
d A LaTex expression showing 57 over 8 Pi
4
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/3 of the circle with radius 6
a A LaTex expression showing 5Pi
b A LaTex expression showing 18Pi
c A LaTex expression showing 12Pi
d A LaTex expression showing 14Pi
e A LaTex expression showing 3Pi
5
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/9 of the circle with radius 5
a A LaTex expression showing 37 over 9 Pi
b A LaTex expression showing 31 over 9 Pi
c A LaTex expression showing 13 over 3 Pi
d A LaTex expression showing 25 over 9 Pi
6
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/9 of the circle with radius 2
a A LaTex expression showing 8 over 9 Pi
b A LaTex expression showing 1 over 9 Pi
c A LaTex expression showing 4 over 9 Pi
d A LaTex expression showing 2 over 9 Pi
e A LaTex expression showing 5 over 9 Pi
7
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/9 of the circle with radius 3
a A LaTex expression showing 5 over 3 Pi
b A LaTex expression showing 7 over 9 Pi
c A LaTex expression showing 1Pi
d A LaTex expression showing 10 over 9 Pi