This math topic focuses on understanding and calculating the area of a part circle and extending this information to find the full area of the circle using the value of π (Pi). Specifically, learners are given the area of a sector (either explicitly or through a fraction like 1/2 of the circle) and are required to determine the total area of the circle. These problems enhance skills in handling spatial relationships and fractions tied to areas within the broader scope of geometry, specifically focusing on circles and their parts. The problems help solidify the fundamental principles of circle geometry by applying the relationship between the part and the whole through practical examples.

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

more
View

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

Mobius Math Academy logo
Area of a Part Circle - Part Area and Fraction to Full Area (Pi Value)
1
An svg image showing a math problem
The area of the green shaded 1/2 sector is 1/2π. What is the area of the full circle?
a A LaTex expression showing 1Pi
b A LaTex expression showing 4Pi
c A LaTex expression showing 3 over 2 Pi
d A LaTex expression showing 5 over 2 Pi
2
An svg image showing a math problem
The area of the green shaded 1/2 sector is 2π. What is the area of the full circle?
a A LaTex expression showing 4Pi
b A LaTex expression showing 1 over 2 Pi
c A LaTex expression showing 5 over 2 Pi
d A LaTex expression showing 5Pi
e A LaTex expression showing 1Pi
3
An svg image showing a math problem
The area of the green shaded 1/2 sector is 8π. What is the area of the full circle?
a A LaTex expression showing 16Pi
b A LaTex expression showing 5Pi
c A LaTex expression showing 12Pi
d A LaTex expression showing 9Pi
e A LaTex expression showing 17 over 2 Pi
4
An svg image showing a math problem
The area of the green shaded 1/2 sector is 25/2π. What is the area of the full circle?
a A LaTex expression showing 15 over 2 Pi
b A LaTex expression showing 19 over 2 Pi
c A LaTex expression showing 25Pi
d A LaTex expression showing 43 over 2 Pi
e A LaTex expression showing 33 over 2 Pi
5
An svg image showing a math problem
The area of the green shaded 1/2 sector is 9/2π. What is the area of the full circle?
a A LaTex expression showing 5Pi
b A LaTex expression showing 3 over 2 Pi
c A LaTex expression showing 9Pi
d A LaTex expression showing 11 over 2 Pi
e A LaTex expression showing 3Pi
6
An svg image showing a math problem
The area of the green shaded 1/2 sector is 18π. What is the area of the full circle?
a A LaTex expression showing 30Pi
b A LaTex expression showing 27Pi
c A LaTex expression showing 36Pi
d A LaTex expression showing 21 over 2 Pi
e A LaTex expression showing 63 over 2 Pi