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 7

r=7

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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 49
b A LaTex expression showing {98 over 2 } to the power of 2 Pi
c A LaTex expression showing 98 over Pi
d A LaTex expression showing 98
e A LaTex expression showing 49 to the power of 2 over 2 Pi
f A LaTex expression showing {14 over 2 } to the power of 2 Pi
2
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 13 over Pi
b A LaTex expression showing 25
c A LaTex expression showing 4square root of 50
d A LaTex expression showing 50
e A LaTex expression showing 25Pi
f A LaTex expression showing 10Pi
3
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 16 over 2 square root of 2
b A LaTex expression showing 32
c A LaTex expression showing 16
d A LaTex expression showing {8 over 2 } to the power of 2 Pi
e A LaTex expression showing 8 to the power of 2 over 2 Pi
f A LaTex expression showing 2square root of 16 over 2Pi
4
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 72
b A LaTex expression showing 72 to the power of 2 over 2 Pi
c A LaTex expression showing 18 over 2 square root of 2
d A LaTex expression showing 36 over Pi
e A LaTex expression showing 36
5
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 128
b A LaTex expression showing {64 over 2 } to the power of 2 Pi
c A LaTex expression showing 64
d A LaTex expression showing 64 over 2 square root of 2
e A LaTex expression showing {32 over 2 } to the power of 2 Pi
f A LaTex expression showing 64Pi
6
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
b A LaTex expression showing {4 over 2 } to the power of 2 Pi
c A LaTex expression showing 8 over Pi
d A LaTex expression showing 8
e A LaTex expression showing 2square root of 2 over 2Pi
f A LaTex expression showing 4 over 2 square root of 2
7
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 9
b A LaTex expression showing {9 over 2 } to the power of 2 Pi
c A LaTex expression showing 9 over 2 square root of 2
d A LaTex expression showing 18
e A LaTex expression showing {18 over 2 } to the power of 2 Pi
f A LaTex expression showing {6 over 2 } to the power of 2 Pi