This math topic focuses on calculating the arc length of sections of a circle, applying the formula involving the circle's radius and the fraction of the circumference represented by the arc. It requires understanding how the radius and fraction of a circle's total circumference can be used to determine the length of an arc, using the constant π (Pi). The problems ask students to determine arc lengths for specific circle sectors, defined by given fractions and radii. This set of questions forms part of an introductory unit on geometry specifically addressing partial areas and circumferences of circles.

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 Fraction to Arc Length (Pi Value) Worksheet

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Circumference of a Part Circle - Radius and Fraction to Arc Length (Pi Value)
1
An svg image showing a math problem
What is the arc length of 1/3 of the circle's circumference if the radius is 4?
a A LaTex expression showing 5 over 3 Pi
b A LaTex expression showing 8 over 3 Pi
c A LaTex expression showing 6 over 5 Pi
d A LaTex expression showing 4Pi
e A LaTex expression showing 12 over 5 Pi
2
An svg image showing a math problem
What is the arc length of 2/5 of the circle's circumference if the radius is 3?
a A LaTex expression showing 12 over 5 Pi
b A LaTex expression showing 3Pi
c A LaTex expression showing 25 over 6 Pi
d A LaTex expression showing 21 over 2 Pi
3
An svg image showing a math problem
What is the arc length of 1/5 of the circle's circumference if the radius is 2?
a A LaTex expression showing 4 over 3 Pi
b A LaTex expression showing 4 over 5 Pi
c A LaTex expression showing 1 over 3 Pi
d A LaTex expression showing 3 over 4 Pi
e A LaTex expression showing 1Pi
4
An svg image showing a math problem
What is the arc length of 3/4 of the circle's circumference if the radius is 2?
a A LaTex expression showing 1 over 2 Pi
b A LaTex expression showing 7 over 2 Pi
c A LaTex expression showing 1 over 5 Pi
d A LaTex expression showing 1Pi
e A LaTex expression showing 3Pi
5
An svg image showing a math problem
What is the arc length of 4/5 of the circle's circumference if the radius is 4?
a A LaTex expression showing 32 over 5 Pi
b A LaTex expression showing 11 over 3 Pi
c A LaTex expression showing 47 over 5 Pi
d A LaTex expression showing 59 over 6 Pi
e A LaTex expression showing 5 over 2 Pi
6
An svg image showing a math problem
What is the arc length of 1/3 of the circle's circumference if the radius is 2?
a A LaTex expression showing 2Pi
b A LaTex expression showing 4 over 3 Pi
c A LaTex expression showing 5 over 8 Pi
d A LaTex expression showing 7 over 5 Pi
e A LaTex expression showing 3 over 5 Pi
7
An svg image showing a math problem
What is the arc length of 4/5 of the circle's circumference if the radius is 5?
a A LaTex expression showing 8Pi
b A LaTex expression showing 1 over 3 Pi
c A LaTex expression showing 2Pi
d A LaTex expression showing 8 over 3 Pi
e A LaTex expression showing 5 over 2 Pi
8
An svg image showing a math problem
What is the arc length of 2/5 of the circle's circumference if the radius is 1?
a A LaTex expression showing 1 over 4 Pi
b A LaTex expression showing 1 over 5 Pi
c A LaTex expression showing 9 over 8 Pi
d A LaTex expression showing 4 over 5 Pi
e A LaTex expression showing 3Pi