This math topic focuses on calculating the fraction of a circle covered by a sector, based on given sector areas and circle radii. It combines elements of geometry, specifically dealing with circle sectors, and fraction computation. Each problem presents a sector's area and the radius of the circle to which the sector belongs, requiring the learner to determine what fraction of the circle's total area is represented by the sector. Multiple-choice answers guide the learners to find the correct fraction, utilizing equations and understanding of circle geometry principles.

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 Area to Fraction (Equation) Worksheet

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Math worksheet on 'Area of a Circle Sector From Area to Fraction (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/
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An svg image showing a math problem
Find what fraction a sector with area 18/5 π is of a circle with radius 3
a A LaTex expression showing 4
b A LaTex expression showing 3
c A LaTex expression showing 2 over 7
d A LaTex expression showing 2 over 5
2
An svg image showing a math problem
Find what fraction a sector with area 63/2 π is of a circle with radius 6
a A LaTex expression showing 14 over 3
b A LaTex expression showing 7 over 8
c A LaTex expression showing 5
d A LaTex expression showing 3 over 4
e A LaTex expression showing 4 over 7
3
An svg image showing a math problem
Find what fraction a sector with area 12 π is of a circle with radius 6
a A LaTex expression showing 8 over 3
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 12
d A LaTex expression showing 2 over 5
e A LaTex expression showing 9 over 7
4
An svg image showing a math problem
Find what fraction a sector with area 27/5 π is of a circle with radius 3
a A LaTex expression showing 3
b A LaTex expression showing 11 over 12
c A LaTex expression showing 3 over 5
d A LaTex expression showing 9 over 10
e A LaTex expression showing 1 over 3
5
An svg image showing a math problem
Find what fraction a sector with area 32/3 π is of a circle with radius 4
a A LaTex expression showing 7 over 15
b A LaTex expression showing 5 over 2
c A LaTex expression showing 11 over 10
d A LaTex expression showing 2 over 3
e A LaTex expression showing 9
6
An svg image showing a math problem
Find what fraction a sector with area 27/2 π is of a circle with radius 6
a A LaTex expression showing 11 over 2
b A LaTex expression showing 2 over 7
c A LaTex expression showing 1 over 9
d A LaTex expression showing 3 over 8
e A LaTex expression showing 5 over 6
7
An svg image showing a math problem
Find what fraction a sector with area 50/3 π is of a circle with radius 5
a A LaTex expression showing 2 over 3
b A LaTex expression showing 8 over 11
c A LaTex expression showing 1
d A LaTex expression showing 1 over 2