This math topic focuses on calculating the area of sectors in circles, specifically involving determining the area of a part-circle based on the area of the whole circle and a given fraction. It extends to converting these areas into forms involving π (pi). The overall concept is structured within an introductory geometry unit encompassing circle sectors and circumferences, catering to learners who are advancing their understanding of spatial properties and measurements related to circular shapes. Each question presents full circle areas with different fractions to determine the area of the corresponding sector, testing students' ability to apply formulas for partial areas in practical contexts.

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Area of a Part Circle - Full Area and Fraction to Part Area (Pi Value) Worksheet

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Area of a Part Circle - Full Area and Fraction to Part Area (Pi Value)
1
An svg image showing a math problem
The area of the full circle is 4π. What is the area of the green shaded 3/4 sector ?
a A LaTex expression showing 3Pi
b A LaTex expression showing 17 over 4 Pi
c A LaTex expression showing 19 over 4 Pi
d A LaTex expression showing 9 over 2 Pi
e A LaTex expression showing 1Pi
2
An svg image showing a math problem
The area of the full circle is 25π. What is the area of the green shaded 2/4 sector ?
a A LaTex expression showing 15 over 4 Pi
b A LaTex expression showing 25 over 2 Pi
c A LaTex expression showing 5 over 4 Pi
d A LaTex expression showing 45 over 4 Pi
3
An svg image showing a math problem
The area of the full circle is 25π. What is the area of the green shaded 2/5 sector ?
a A LaTex expression showing 4Pi
b A LaTex expression showing 2Pi
c A LaTex expression showing 10Pi
d A LaTex expression showing 16Pi
e A LaTex expression showing 5Pi
4
An svg image showing a math problem
The area of the full circle is 9π. What is the area of the green shaded 2/3 sector ?
a A LaTex expression showing 25 over 3 Pi
b A LaTex expression showing 26 over 3 Pi
c A LaTex expression showing 6Pi
d A LaTex expression showing 16 over 3 Pi
e A LaTex expression showing 14 over 3 Pi
5
An svg image showing a math problem
The area of the full circle is 36π. What is the area of the green shaded 1/4 sector ?
a A LaTex expression showing 33 over 4 Pi
b A LaTex expression showing 57 over 4 Pi
c A LaTex expression showing 27 over 4 Pi
d A LaTex expression showing 9Pi
e A LaTex expression showing 12Pi
6
An svg image showing a math problem
The area of the full circle is 16π. What is the area of the green shaded 1/3 sector ?
a A LaTex expression showing 16 over 3 Pi
b A LaTex expression showing 7Pi
c A LaTex expression showing 4Pi
d A LaTex expression showing 7 over 3 Pi
7
An svg image showing a math problem
The area of the full circle is 9π. What is the area of the green shaded 4/5 sector ?
a A LaTex expression showing 6Pi
b A LaTex expression showing 36 over 5 Pi
c A LaTex expression showing 63 over 5 Pi
d A LaTex expression showing 9Pi
e A LaTex expression showing 18 over 5 Pi
8
An svg image showing a math problem
The area of the full circle is 36π. What is the area of the green shaded 1/3 sector ?
a A LaTex expression showing 5Pi
b A LaTex expression showing 3Pi
c A LaTex expression showing 19Pi
d A LaTex expression showing 12Pi