HomePricing

Inscribed Square in Circle - Square Side Length to Circle Radius (Level 1)

This math topic delves into geometry, specifically focusing on the relationship between the side length of a square inscribed within a circle and the radius of the circle. It comprises multiple problems that require calculating the circle's radius given the side length of the inscribed square. Each question presents a range of potential answers, challenging students to apply geometric principles and mathematical reasoning to find the correct radius corresponding to various square side lengths. This topic serves as a practical exercise for understanding properties of inscribed shapes and relationships within circles.

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

View Unit

Inscribed Square in Circle - Square Side Length to Circle Radius

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the radius of the circle that has a square inscribed with side length 7

r=?7

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

Mobius Math Club logo
Math worksheet on 'Inscribed Square in Circle - Square Side Length to Circle Radius (Level 1)'. Part of a broader unit on 'Inscribed Squares and Circles - Intro' Learn online: app.mobius.academy/math/units/inscribed_squares_and_circles_intro/
1
Find the radius of the circle that has a square inscribed with side length 2
An svg image showing a math problem
a A LaTex expression showing square root of 2
b A LaTex expression showing {4 over 2 } to the power of 2 Pi
c A LaTex expression showing 2square root of 8 over 2
d A LaTex expression showing 8 over Pi
e A LaTex expression showing 4
f A LaTex expression showing 2square root of 8 over 2Pi
2
Find the radius of the circle that has a square inscribed with side length 7
An svg image showing a math problem
a A LaTex expression showing 4square root of 49
b A LaTex expression showing 25Pi
c A LaTex expression showing {(square root of 49)} to the power of 2 Pi
d A LaTex expression showing square root of 49 over 2
e A LaTex expression showing 4square root of 98
f A LaTex expression showing 25
3
Find the radius of the circle that has a square inscribed with side length 4
An svg image showing a math problem
a A LaTex expression showing {(square root of 32)} to the power of 2 Pi
b A LaTex expression showing 8 over 2 square root of 2
c A LaTex expression showing 8Pi
d A LaTex expression showing {(square root of 8)} to the power of 2 Pi
e A LaTex expression showing square root of 8
f A LaTex expression showing 8
4
Find the radius of the circle that has a square inscribed with side length 6
An svg image showing a math problem
a A LaTex expression showing 72 over Pi
b A LaTex expression showing 18 over 2 square root of 2
c A LaTex expression showing 18 to the power of 2 over 2 Pi
d A LaTex expression showing 2square root of 18 over 2Pi
e A LaTex expression showing square root of 18
f A LaTex expression showing 12 over Pi
5
Find the radius of the circle that has a square inscribed with side length 8
An svg image showing a math problem
a A LaTex expression showing 4square root of 128
b A LaTex expression showing 2square root of 64 over 2
c A LaTex expression showing 2square root of 128 over 2Pi
d A LaTex expression showing {(square root of 16)} to the power of 2 Pi
e A LaTex expression showing square root of 32
f A LaTex expression showing 4square root of 16
6
Find the radius of the circle that has a square inscribed with side length 3
An svg image showing a math problem
a A LaTex expression showing square root of 9 over 2
b A LaTex expression showing 5 over 2 square root of 2
c A LaTex expression showing 6 over Pi
d A LaTex expression showing 18 over Pi
e A LaTex expression showing 9
f A LaTex expression showing 9Pi
7
Find the radius of the circle that has a square inscribed with side length 5
An svg image showing a math problem
a A LaTex expression showing 2square root of 50 over 2
b A LaTex expression showing 10
c A LaTex expression showing 10 over Pi
d A LaTex expression showing 25Pi
e A LaTex expression showing {25 over 2 } to the power of 2 Pi
f A LaTex expression showing square root of 25 over 2