This math topic focuses on calculating the area of a circle's sector, expressed in terms of π. It tests understanding of the relationship between fractions of a whole circle and its corresponding sector area, requiring the use of the formula for the area of a circle sector. Each question provides the fraction of the circle covered by the sector and the radius length, and asks to solve for the area. The varieties of circle radii and sector proportions offer practice in applying the area formula under different scenarios, enhancing both theoretical understanding and computational skills in geometry.

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 Fraction to Area (Equation) Worksheet

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Area of a Circle Sector From Fraction to Area (Equation)
1
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/2 of the circle with radius 6
a A LaTex expression showing 32Pi
b A LaTex expression showing 135 over 4 Pi
c A LaTex expression showing 18Pi
d A LaTex expression showing 23 over 4 Pi
2
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/4 of the circle with radius 1
a A LaTex expression showing 5 over 4 Pi
b A LaTex expression showing 5 over 2 Pi
c A LaTex expression showing 1 over 4 Pi
d A LaTex expression showing 7 over 4 Pi
e A LaTex expression showing 1 over 2 Pi
3
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/2 of the circle with radius 4
a A LaTex expression showing 29 over 4 Pi
b A LaTex expression showing 8Pi
c A LaTex expression showing 17 over 4 Pi
d A LaTex expression showing 41 over 4 Pi
e A LaTex expression showing 14Pi
4
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/4 of the circle with radius 2
a A LaTex expression showing 1Pi
b A LaTex expression showing 3Pi
c A LaTex expression showing 1 over 2 Pi
d A LaTex expression showing 5 over 4 Pi
e A LaTex expression showing 9 over 4 Pi
5
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 6
a A LaTex expression showing 99 over 2 Pi
b A LaTex expression showing 19 over 2 Pi
c A LaTex expression showing 7Pi
d A LaTex expression showing 27Pi
e A LaTex expression showing 47Pi
6
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/4 of the circle with radius 3
a A LaTex expression showing 15 over 4 Pi
b A LaTex expression showing 9 over 2 Pi
c A LaTex expression showing 1 over 4 Pi
d A LaTex expression showing 17 over 4 Pi
e A LaTex expression showing 9 over 4 Pi
7
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/4 of the circle with radius 4
a A LaTex expression showing 9 over 4 Pi
b A LaTex expression showing 11 over 2 Pi
c A LaTex expression showing 4Pi
d A LaTex expression showing 2Pi
e A LaTex expression showing 7 over 4 Pi
8
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 3
a A LaTex expression showing 31 over 4 Pi
b A LaTex expression showing 43 over 4 Pi
c A LaTex expression showing 13 over 4 Pi
d A LaTex expression showing 45 over 4 Pi
e A LaTex expression showing 27 over 4 Pi