This math topic focuses on calculating the fraction of a circle represented by a sector, based on the sector's area and the circle's radius. Specifically, students are asked to express the ratio of the sector’s area to the full circle’s area, using the given sector area and radius information to determine the correct fraction (expressed as a ratio of integers). Multiple choice answers are provided for each question, requiring students to calculate and estimate the closest integer-based fraction representation of the circle sector's coverage. The questions are a practical application of geometry concepts involving circle sectors and radial calculations.

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 (Closest Integer) Worksheet

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Area of a Circle Sector From Area to Fraction (Closest Integer)
1
An svg image showing a math problem
A sector with area 4.19 is what fraction of a circle with radius 2?
a A LaTex expression showing 7
b A LaTex expression showing 1 over 4
c A LaTex expression showing 5 over 6
d A LaTex expression showing 1
e A LaTex expression showing 1 over 3
2
An svg image showing a math problem
A sector with area 4.71 is what fraction of a circle with radius 3?
a A LaTex expression showing 6 over 11
b A LaTex expression showing 1 over 4
c A LaTex expression showing 4 over 9
d A LaTex expression showing 1 over 6
3
An svg image showing a math problem
A sector with area 5.65 is what fraction of a circle with radius 3?
a A LaTex expression showing 8 over 3
b A LaTex expression showing 3 over 7
c A LaTex expression showing 5 over 3
d A LaTex expression showing 1 over 5
e A LaTex expression showing 9 over 11
4
An svg image showing a math problem
A sector with area 26.18 is what fraction of a circle with radius 5?
a A LaTex expression showing 3 over 2
b A LaTex expression showing 2 over 3
c A LaTex expression showing 1 over 4
d A LaTex expression showing 7
e A LaTex expression showing 1 over 3
5
An svg image showing a math problem
A sector with area 16.76 is what fraction of a circle with radius 4?
a A LaTex expression showing 3 over 10
b A LaTex expression showing 3 over 2
c A LaTex expression showing 7 over 2
d A LaTex expression showing 7 over 6
e A LaTex expression showing 1 over 3
6
An svg image showing a math problem
A sector with area 22.62 is what fraction of a circle with radius 6?
a A LaTex expression showing 2 over 3
b A LaTex expression showing 4 over 13
c A LaTex expression showing 4 over 7
d A LaTex expression showing 1 over 5
e A LaTex expression showing 1
7
An svg image showing a math problem
A sector with area 13.09 is what fraction of a circle with radius 5?
a A LaTex expression showing 3 over 7
b A LaTex expression showing 3 over 14
c A LaTex expression showing 2
d A LaTex expression showing 9 over 11
e A LaTex expression showing 1 over 6
8
An svg image showing a math problem
A sector with area 2.09 is what fraction of a circle with radius 2?
a A LaTex expression showing 1
b A LaTex expression showing 1 over 6
c A LaTex expression showing 9 over 8
d A LaTex expression showing 2 over 3