This topic focuses on calculating the arc length of a sector of a circle. It covers how to use the radius of the circle and the fraction of the circle that the sector represents to determine the arc length. The skill level is introductory, suitable for beginners in geometry, specifically in the area of circle geometry and measurements related to partial circles. Multiple-choice questions challenge learners to apply formulas for arc lengths, incorporating both integral and decimal fractions of the circle. This complements broader units on the geometry of circles, including areas and circumferences of partial circles.

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 (Decimal) Worksheet

Mobius Math Academy logo
Area of a Part Circle - Radius and Fraction to Arc Length (Decimal)
1
An svg image showing a math problem
What is the arc length of a 3/4 sector of a circle if the radius is 2 (to nearest integer)?
a
10
b
6
c
13
d
9
e
5
f
8
2
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 (to nearest integer)?
a
11
b
17
c
14
d
12
e
15
f
16
3
An svg image showing a math problem
What is the arc length of a 4/5 sector of a circle if the radius is 2 (to nearest integer)?
a
13
b
9
c
6
d
7
e
10
f
11
4
An svg image showing a math problem
What is the arc length of a 1/3 sector of a circle if the radius is 2 (to nearest integer)?
a
2
b
7
c
6
d
3
e
8
f
4
5
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 (to nearest integer)?
a
11
b
10
c
17
d
13
e
14
f
15
6
An svg image showing a math problem
What is the arc length of a 2/5 sector of a circle if the radius is 6 (to nearest integer)?
a
18
b
11
c
13
d
14
e
15
f
16
7
An svg image showing a math problem
What is the arc length of a 1/3 sector of a circle if the radius is 6 (to nearest integer)?
a
13
b
15
c
17
d
16
e
11
f
9
8
An svg image showing a math problem
What is the arc length of a 3/4 sector of a circle if the radius is 1 (to nearest integer)?
a
8
b
5
c
6
d
1
e
9
f
7