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

Level 2

This math topic focuses on calculating the fraction of a circle represented by a sector, given the sector's area and the circle's radius. It involves geometric concepts, particularly understanding of circle areas and sector proportions. Each question presents a scenario where learners find the fraction of a circle occupied by a sector with a specific area, providing answers in fractional form. This topic is an introductory overview of calculating circle sectors and their areas within the broader field of geometry.

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

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Circle Sector From Area to Fraction (Equation)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find what fraction a sector with area 9/2 π is of a circle with radius 6

r=6

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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 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 what fraction a sector with area 2 π is of a circle with radius 4
a A LaTex expression showing 3 over 2
b A LaTex expression showing 1 over 8
c A LaTex expression showing 5 over 16
d A LaTex expression showing 7 over 4
e A LaTex expression showing 4 over 5
2
An svg image showing a math problem
Find what fraction a sector with area 16/5 π is of a circle with radius 4
a A LaTex expression showing 5 over 7
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1
d A LaTex expression showing 6 over 11
e A LaTex expression showing 9 over 4
3
An svg image showing a math problem
Find what fraction a sector with area 4/9 π is of a circle with radius 2
a A LaTex expression showing 1 over 4
b A LaTex expression showing 2 over 13
c A LaTex expression showing 9 over 2
d A LaTex expression showing 1 over 9
e A LaTex expression showing 9 over 16
4
An svg image showing a math problem
Find what fraction a sector with area 3/2 π is of a circle with radius 3
a A LaTex expression showing 8 over 5
b A LaTex expression showing 3
c A LaTex expression showing 2 over 3
d A LaTex expression showing 1 over 6
e A LaTex expression showing 2
5
An svg image showing a math problem
Find what fraction a sector with area 9/5 π is of a circle with radius 3
a A LaTex expression showing 4 over 11
b A LaTex expression showing 5
c A LaTex expression showing 6 over 7
d A LaTex expression showing 1 over 5
e A LaTex expression showing 8 over 11
6
An svg image showing a math problem
Find what fraction a sector with area 3 π is of a circle with radius 3
a A LaTex expression showing 6
b A LaTex expression showing 5
c A LaTex expression showing 7 over 5
d A LaTex expression showing 5 over 6
e A LaTex expression showing 1 over 3
7
An svg image showing a math problem
Find what fraction a sector with area 25/9 π is of a circle with radius 5
a A LaTex expression showing 3
b A LaTex expression showing 1 over 9
c A LaTex expression showing 3 over 2
d A LaTex expression showing 2 over 15
e A LaTex expression showing 3 over 16