Inscribed Square in Circle - Circle Radius to Square Area (Level 1)

This math topic focuses on finding the area of a square inscribed in a circle given the radius of the circle. It covers various radii sizes to enhance the understanding of the relationship between the radius of the circle and the area of the inscribed square. Students engage in calculations that require an understanding of both circle and square geometry, specifically how to transition from the dimensions of a circle to computing areas in the context of squares. The problems offer multiple choice responses, encouraging the application of geometry and algebra skills to solve real-world type problems within a theoretical framework.

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 Area

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Find the area of the square inscribed in a circle with radius 6

r=6

Inscribed Square in Circle - Circle Radius to Square Area Worksheet

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Math worksheet on 'Inscribed Square in Circle - Circle Radius to Square Area (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 area of the square inscribed in a circle with radius 7
An svg image showing a math problem
a A LaTex expression showing 2square root of 49 over 2Pi
b A LaTex expression showing 98
c A LaTex expression showing {49 over 2 } to the power of 2 Pi
d A LaTex expression showing 49 over 2 square root of 2
e A LaTex expression showing 2square root of 25 over 2Pi
f A LaTex expression showing 49
2
Find the area of the square inscribed in a circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 2square root of 18 over 2Pi
b A LaTex expression showing 6 over Pi
c A LaTex expression showing 9Pi
d A LaTex expression showing {5 over 2 } to the power of 2 Pi
e A LaTex expression showing 18
f A LaTex expression showing 9
3
Find the area of the square inscribed in a circle with radius 8
An svg image showing a math problem
a A LaTex expression showing {(square root of 128)} to the power of 2 Pi
b A LaTex expression showing 64
c A LaTex expression showing {128 over 2 } to the power of 2 Pi
d A LaTex expression showing 2square root of 16 over 2Pi
e A LaTex expression showing 16Pi
f A LaTex expression showing 128
4
Find the area of the square inscribed in a circle with radius 4
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 8 over Pi
c A LaTex expression showing 2square root of 16 over 2Pi
d A LaTex expression showing 4square root of 8
e A LaTex expression showing 32
f A LaTex expression showing 16
5
Find the area of the 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 2 over Pi
c A LaTex expression showing 4
d A LaTex expression showing 4 over Pi
e A LaTex expression showing 8
6
Find the area of the square inscribed in a circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 36
b A LaTex expression showing 12Pi
c A LaTex expression showing 36 over Pi
d A LaTex expression showing 12
e A LaTex expression showing 72
f A LaTex expression showing 36 to the power of 2 over 2 Pi
7
Find the area of the square inscribed in a circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 25 over Pi
b A LaTex expression showing 50
c A LaTex expression showing 2square root of 50 over 2
d A LaTex expression showing 25
e A LaTex expression showing 50Pi
f A LaTex expression showing 10Pi