This math topic revolves around calculating the arc length of a sector in a circle, giving students practice in applying formulas for circle geometry. Each problem requires students to compute the arc length of a circle sector based on different fractions of the circle (1/4, 1/3, or 2/3) and varying radii. The problems are designed to reinforce an understanding of how the arc length is influenced by the radius of the circle and the fraction of the circle represented by the sector.

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

more
View

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

Mobius Math Academy logo
Area 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 a 1/3 sector of a circle if the radius is 3?
a A LaTex expression showing 3 over 2 Pi
b A LaTex expression showing 1 over 4 Pi
c A LaTex expression showing 1 over 5 Pi
d A LaTex expression showing 2Pi
e A LaTex expression showing 3 over 10 Pi
2
An svg image showing a math problem
What is the arc length of a 2/4 sector of a circle if the radius is 2?
a A LaTex expression showing 1Pi
b A LaTex expression showing 1 over 3 Pi
c A LaTex expression showing 5 over 2 Pi
d A LaTex expression showing 2 over 3 Pi
e A LaTex expression showing 2Pi
3
An svg image showing a math problem
What is the arc length of a 3/5 sector of a circle if the radius is 2?
a A LaTex expression showing 12 over 5 Pi
b A LaTex expression showing 9 over 5 Pi
c A LaTex expression showing 17 over 8 Pi
d A LaTex expression showing 23 over 6 Pi
e A LaTex expression showing 19 over 2 Pi
4
An svg image showing a math problem
What is the arc length of a 3/4 sector of a circle if the radius is 3?
a A LaTex expression showing 17 over 8 Pi
b A LaTex expression showing 4 over 3 Pi
c A LaTex expression showing 5 over 2 Pi
d A LaTex expression showing 5 over 6 Pi
e A LaTex expression showing 9 over 2 Pi
5
An svg image showing a math problem
What is the arc length of a 2/5 sector of a circle if the radius is 1?
a A LaTex expression showing 2Pi
b A LaTex expression showing 1Pi
c A LaTex expression showing 1 over 2 Pi
d A LaTex expression showing 4 over 5 Pi
6
An svg image showing a math problem
What is the arc length of a 2/3 sector of a circle if the radius is 4?
a A LaTex expression showing 16 over 3 Pi
b A LaTex expression showing 11 over 10 Pi
c A LaTex expression showing 3Pi
d A LaTex expression showing 28 over 3 Pi
e A LaTex expression showing 2Pi
7
An svg image showing a math problem
What is the arc length of a 1/4 sector of a circle if the radius is 2?
a A LaTex expression showing 1 over 3 Pi
b A LaTex expression showing 3 over 5 Pi
c A LaTex expression showing 1 over 6 Pi
d A LaTex expression showing 1Pi
e A LaTex expression showing 1 over 2 Pi
8
An svg image showing a math problem
What is the arc length of a 4/5 sector of a circle if the radius is 3?
a A LaTex expression showing 11 over 8 Pi
b A LaTex expression showing 16Pi
c A LaTex expression showing 23 over 5 Pi
d A LaTex expression showing 24 over 5 Pi
e A LaTex expression showing 9Pi