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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 6

r=?6

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 4
An svg image showing a math problem
a A LaTex expression showing 8Pi
b A LaTex expression showing 16 over Pi
c A LaTex expression showing 4 over 2
d A LaTex expression showing 8Pi
e A LaTex expression showing 4square root of 8
f A LaTex expression showing 8 over Pi
2
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 Pi
b A LaTex expression showing 25 over Pi
c A LaTex expression showing {13 over 2 } to the power of 2 Pi
d A LaTex expression showing 2square root of 50 over 2
e A LaTex expression showing 50 to the power of 2 over 2 Pi
f A LaTex expression showing 5 over 2
3
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 6 over 2
b A LaTex expression showing 4square root of 72
c A LaTex expression showing 4square root of 18
d A LaTex expression showing 36 over Pi
e A LaTex expression showing {(square root of 36)} to the power of 2 Pi
f A LaTex expression showing 72 over Pi
4
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 9 to the power of 2 over 2 Pi
b A LaTex expression showing 3 over 2
c A LaTex expression showing 9 over 2 square root of 2
d A LaTex expression showing {18 over 2 } to the power of 2 Pi
e A LaTex expression showing 2square root of 9 over 2
f A LaTex expression showing 2square root of 6 over 2Pi
5
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 2square root of 2 over 2Pi
b A LaTex expression showing 8 over 2 square root of 2
c A LaTex expression showing 8
d A LaTex expression showing 8 over 2 square root of 2
e A LaTex expression showing 2 over 2
f A LaTex expression showing 2square root of 2 over 2