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

This math topic focuses on finding the radius of a circle inscribed within a square, given the square's side length. The problems involve increasingly complex geometry calculations as students compute the radius based on different side lengths (2, 3, 4, 5, and 6). Each problem provides multiple-choice answers, presented as mathematical expressions. This is part of a broader introduction to the geometry of inscribed squares and circles.

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

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Inscribed Circle in Square - Square Side Length to Circle Radius

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Find the radius of the circle inscribed in a square with side length 4

r=?4

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

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Math worksheet on 'Inscribed Circle in Square - 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 inscribed in a square with side length 7
An svg image showing a math problem
a A LaTex expression showing 7 over 2
b A LaTex expression showing 98
c A LaTex expression showing 98 to the power of 2 over 2 Pi
d A LaTex expression showing 25 over Pi
e A LaTex expression showing 14 over 2
f A LaTex expression showing {(square root of 14)} to the power of 2 Pi
2
Find the radius of the circle inscribed in a square with side length 2
An svg image showing a math problem
a A LaTex expression showing {8 over 2 } to the power of 2 Pi
b A LaTex expression showing 4 to the power of 2 over 2 Pi
c A LaTex expression showing 2 over Pi
d A LaTex expression showing 2 over 2
e A LaTex expression showing 8 over 2 square root of 2
f A LaTex expression showing 4 over 2
3
Find the radius of the circle inscribed in a square with side length 8
An svg image showing a math problem
a A LaTex expression showing 8 over 2
b A LaTex expression showing 64Pi
c A LaTex expression showing 16 over 2
d A LaTex expression showing 2square root of 64 over 2
e A LaTex expression showing {32 over 2 } to the power of 2 Pi
f A LaTex expression showing 4square root of 32
4
Find the radius of the circle inscribed in a square with side length 6
An svg image showing a math problem
a A LaTex expression showing 2square root of 36 over 2Pi
b A LaTex expression showing 12 over 2
c A LaTex expression showing 18
d A LaTex expression showing 6 over 2
e A LaTex expression showing 36Pi
f A LaTex expression showing 12 over 2 square root of 2
5
Find the radius of the circle inscribed in a square with side length 4
An svg image showing a math problem
a A LaTex expression showing 16 over Pi
b A LaTex expression showing 4 over 2
c A LaTex expression showing 8 over 2 square root of 2
d A LaTex expression showing {16 over 2 } to the power of 2 Pi
e A LaTex expression showing 32 over Pi
f A LaTex expression showing 8 over 2
6
Find the radius of the circle inscribed in a square with side length 5
An svg image showing a math problem
a A LaTex expression showing 10 over 2
b A LaTex expression showing 2square root of 13 over 2
c A LaTex expression showing 5 over 2
d A LaTex expression showing 50 over 2 square root of 2
e A LaTex expression showing {50 over 2 } to the power of 2 Pi
f A LaTex expression showing {13 over 2 } to the power of 2 Pi
7
Find the radius of the circle inscribed in a square with side length 3
An svg image showing a math problem
a A LaTex expression showing 2square root of 9 over 2Pi
b A LaTex expression showing 6 to the power of 2 over 2 Pi
c A LaTex expression showing 6 over 2
d A LaTex expression showing 2square root of 5 over 2Pi
e A LaTex expression showing 5 to the power of 2 over 2 Pi
f A LaTex expression showing 3 over 2