This math topic focuses on determining the side length of a square inscribed in a circle, given the circle's radius. It's part of an introductory unit on Inscribed Squares and Circles. Each question provides the radius of the circle, and learners are required to calculate the corresponding side length of the inscribed square. The problems encompass various circle radii, aiming to strengthen geometry skills and familiarity with relationships between geometric shapes. Multiple choice answers are provided, involving calculations that yield side lengths from provided radii.

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

more
View

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

Mobius Math Academy logo
Inscribed Square in Circle - Circle Radius to Square Side Length
1
Find the side length of a square inscribed in a circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 32
b A LaTex expression showing 2 square root of 16 over 2
c A LaTex expression showing 16
d A LaTex expression showing 2 square root of 4 over 2
e A LaTex expression showing {16 over 2 } to the power of 2 Pi
f A LaTex expression showing 16 to the power of 2 over 2 Pi
2
Find the side length of a square inscribed in a circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 2 square root of 6 over 2
b A LaTex expression showing 36 over Pi
c A LaTex expression showing {36 over 2 } to the power of 2 Pi
d A LaTex expression showing {(square root of 36)} to the power of 2 Pi
e A LaTex expression showing 18 to the power of 2 over 2 Pi
f A LaTex expression showing 2 square root of 36 over 2
3
Find the side length of a square inscribed in a circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 2 square root of 3 over 2
b A LaTex expression showing {18 over 2 } to the power of 2 Pi
c A LaTex expression showing 2 square root of 9 over 2
d A LaTex expression showing 18 over Pi
e A LaTex expression showing 2square root of 6 over 2
f A LaTex expression showing 9
4
Find the side length of a square inscribed in a circle with radius 2
An svg image showing a math problem
a A LaTex expression showing {4 over 2 } to the power of 2 Pi
b A LaTex expression showing 8 over Pi
c A LaTex expression showing 2
d A LaTex expression showing 2 square root of 4 over 2
e A LaTex expression showing 2square root of 2 over 2Pi
f A LaTex expression showing 2 square root of 2 over 2
5
Find the side length of a square inscribed in a circle with radius 8
An svg image showing a math problem
a A LaTex expression showing 2 square root of 64 over 2
b A LaTex expression showing {128 over 2 } to the power of 2 Pi
c A LaTex expression showing 2 square root of 8 over 2
d A LaTex expression showing {(square root of 64)} to the power of 2 Pi
e A LaTex expression showing 2square root of 16 over 2Pi
f A LaTex expression showing {16 over 2 } to the power of 2 Pi
6
Find the side length of a square inscribed in a circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 2 square root of 5 over 2
b A LaTex expression showing {25 over 2 } to the power of 2 Pi
c A LaTex expression showing {10 over 2 } to the power of 2 Pi
d A LaTex expression showing 2square root of 25 over 2Pi
e A LaTex expression showing 2 square root of 25 over 2
f A LaTex expression showing 2square root of 50 over 2Pi
7
Find the side length of a square inscribed in a circle with radius 7
An svg image showing a math problem
a A LaTex expression showing 2 square root of 7 over 2
b A LaTex expression showing 2square root of 14 over 2Pi
c A LaTex expression showing 2square root of 98 over 2Pi
d A LaTex expression showing 49 over 2 square root of 2
e A LaTex expression showing 2 square root of 49 over 2
f A LaTex expression showing 25