Inscribed Square in Circle - Square Side Length to Circle Area

Level 1

This math topic focuses on the relationship between the side length of an inscribed square and the area of the circumcircle. Problems require finding the area of circles based on given side lengths of inscribed squares. Each question presents a different square side length, ranging from 2 to 8, and multiple possible answers represented through various mathematical expressions. This topic is foundational within a unit dedicated to understanding the properties and calculations related to inscribed squares and circles.

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

more

Inscribed Square in Circle - Square Side Length to Circle Area Worksheet

Mobius Math Academy logo
Inscribed Square in Circle - Square Side Length to Circle Area
1
Find the area of the circle that has a 6x6 square inscribed
An svg image showing a math problem
a A LaTex expression showing {72 over 2 } to the power of 2 Pi
b A LaTex expression showing 6 to the power of 2 over 2 Pi
c A LaTex expression showing 3 to the power of 2 over 2 Pi
d A LaTex expression showing 18 to the power of 2 over 2 Pi
e A LaTex expression showing {12 over 2 } to the power of 2 Pi
f A LaTex expression showing 2square root of 18 over 2Pi
2
Find the area of the circle that has a 4x4 square inscribed
An svg image showing a math problem
a A LaTex expression showing 2square root of 32 over 2Pi
b A LaTex expression showing 2 to the power of 2 over 2 Pi
c A LaTex expression showing 16 over Pi
d A LaTex expression showing 4 to the power of 2 over 2 Pi
e A LaTex expression showing {(square root of 32)} to the power of 2 Pi
f A LaTex expression showing 8Pi
3
Find the area of the circle that has a 2x2 square inscribed
An svg image showing a math problem
a A LaTex expression showing 1 to the power of 2 over 2 Pi
b A LaTex expression showing 8 over Pi
c A LaTex expression showing {4 over 2 } to the power of 2 Pi
d A LaTex expression showing 2 to the power of 2 over 2 Pi
e A LaTex expression showing 8Pi
f A LaTex expression showing {8 over 2 } to the power of 2 Pi
4
Find the area of the circle that has a 8x8 square inscribed
An svg image showing a math problem
a A LaTex expression showing 4 to the power of 2 over 2 Pi
b A LaTex expression showing 8 to the power of 2 over 2 Pi
c A LaTex expression showing {128 over 2 } to the power of 2 Pi
d A LaTex expression showing {(square root of 128)} to the power of 2 Pi
e A LaTex expression showing 2square root of 128 over 2
f A LaTex expression showing 2square root of 128 over 2Pi
5
Find the area of the circle that has a 5x5 square inscribed
An svg image showing a math problem
a A LaTex expression showing {25 over 2 } to the power of 2 Pi
b A LaTex expression showing 2 to the power of 2 over 2 Pi
c A LaTex expression showing 4square root of 13
d A LaTex expression showing {13 over 2 } to the power of 2 Pi
e A LaTex expression showing 10 over Pi
f A LaTex expression showing 5 to the power of 2 over 2 Pi
6
Find the area of the circle that has a 3x3 square inscribed
An svg image showing a math problem
a A LaTex expression showing 9 over Pi
b A LaTex expression showing 2square root of 6 over 2Pi
c A LaTex expression showing 1 to the power of 2 over 2 Pi
d A LaTex expression showing 6Pi
e A LaTex expression showing {(square root of 9)} to the power of 2 Pi
f A LaTex expression showing 3 to the power of 2 over 2 Pi
7
Find the area of the circle that has a 7x7 square inscribed
An svg image showing a math problem
a A LaTex expression showing {14 over 2 } to the power of 2 Pi
b A LaTex expression showing 4square root of 14
c A LaTex expression showing 2square root of 98 over 2
d A LaTex expression showing 7 to the power of 2 over 2 Pi
e A LaTex expression showing 2square root of 49 over 2
f A LaTex expression showing 3 to the power of 2 over 2 Pi