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

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.

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Inscribed Square in Circle - Circle Radius to Square Side Length

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Find the side length of a square inscribed in a circle with radius 3

r=3

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

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Math worksheet on 'Inscribed Square in Circle - Circle Radius to Square Side Length (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 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
b A LaTex expression showing 4 over 2 square root of 2
c A LaTex expression showing 2square root of 4 over 2Pi
d A LaTex expression showing 4 to the power of 2 over 2 Pi
e A LaTex expression showing 2 square root of 4 over 2
f A LaTex expression showing 2square root of 4 over 2Pi
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 4square root of 12
b A LaTex expression showing 2 square root of 36 over 2
c A LaTex expression showing 72Pi
d A LaTex expression showing 4square root of 36
e A LaTex expression showing 12 over 2 square root of 2
f A LaTex expression showing 4square root of 36
3
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 {(square root of 98)} to the power of 2 Pi
b A LaTex expression showing 49Pi
c A LaTex expression showing {(square root of 98)} to the power of 2 Pi
d A LaTex expression showing {14 over 2 } to the power of 2 Pi
e A LaTex expression showing 2 square root of 49 over 2
f A LaTex expression showing 2square root of 49 over 2
4
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 2square root of 25 over 2
b A LaTex expression showing 50
c A LaTex expression showing 25 over 2 square root of 2
d A LaTex expression showing {13 over 2 } to the power of 2 Pi
e A LaTex expression showing 2square root of 50 over 2
f A LaTex expression showing 2 square root of 25 over 2
5
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 2square root of 8 over 2Pi
b A LaTex expression showing {16 over 2 } to the power of 2 Pi
c A LaTex expression showing 2square root of 32 over 2
d A LaTex expression showing 2 square root of 16 over 2
e A LaTex expression showing 4square root of 32
f A LaTex expression showing 8 over 2 square root of 2
6
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 32 over Pi
b A LaTex expression showing {64 over 2 } to the power of 2 Pi
c A LaTex expression showing 4square root of 64
d A LaTex expression showing {(square root of 128)} to the power of 2 Pi
e A LaTex expression showing {(square root of 16)} to the power of 2 Pi
f A LaTex expression showing 2 square root of 64 over 2
7
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 6
b A LaTex expression showing 5
c A LaTex expression showing 9 over Pi
d A LaTex expression showing {(square root of 5)} to the power of 2 Pi
e A LaTex expression showing 6 over 2 square root of 2
f A LaTex expression showing 2 square root of 9 over 2