This math topic focuses on calculating the fraction of a circle's circumference based on the arc length and the radius. The problems involve using geometric knowledge related to circles' circumferences to determine what fraction of the circle's perimeter corresponds to a given arc length when the circle's radius is known. Each question presents different scenarios with specific arc lengths and radius values, testing the student's ability to apply formulas and understand concepts within circle geometry.

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

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Circumference of a Part Circle - Radius and Arc Length to Fraction (Pi Value) Worksheet

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Circumference of a Part Circle - Radius and Arc Length to Fraction (Pi Value)
1
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 2π if the radius is 5?
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1 over 3
2
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 16/5π if the radius is 2?
a A LaTex expression showing 1
b A LaTex expression showing 4 over 5
c A LaTex expression showing 3 over 5
d A LaTex expression showing 9 over 10
e A LaTex expression showing 1 over 2
3
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 6π if the radius is 6?
a A LaTex expression showing 3 over 5
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1
d A LaTex expression showing 1 over 5
4
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 8/5π if the radius is 2?
a A LaTex expression showing 2 over 5
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1
d A LaTex expression showing 1 over 3
5
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 16/3π if the radius is 4?
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1
c A LaTex expression showing 3 over 8
d A LaTex expression showing 1 over 6
e A LaTex expression showing 2 over 3
6
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 24/5π if the radius is 3?
a A LaTex expression showing 9 over 10
b A LaTex expression showing 4 over 5
c A LaTex expression showing 6 over 5
d A LaTex expression showing 3 over 5
e A LaTex expression showing 1
7
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 36/5π if the radius is 6?
a A LaTex expression showing 5 over 3
b A LaTex expression showing 1 over 3
c A LaTex expression showing 3 over 5
d A LaTex expression showing 5 over 2
e A LaTex expression showing 1 over 2
8
An svg image showing a math problem
What fraction of the circle's circumference has an arc length of 12/5π if the radius is 2?
a A LaTex expression showing 1 over 10
b A LaTex expression showing 2 over 5
c A LaTex expression showing 3 over 5
d A LaTex expression showing 1 over 2
e A LaTex expression showing 3 over 4