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

This math topic focuses on calculating the side length of a square inscribed in a circle based on the given area of the circle. There are multiple problems that vary slightly, each providing a different circle's area. The task requires understanding the relationship between the area of a circle and the side length of the inscribed square, likely involving concepts of geometry and algebra to solve the problems. Each problem offers multiple choice answers, testing comprehension and calculation precision in applying these mathematical principles.

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

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Inscribed Square in Circle - Circle Area to Square Side Length

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Find the side length of a square inscribed in a circle of area 6

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

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Math worksheet on 'Inscribed Square in Circle - Circle Area 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 of area 5
An svg image showing a math problem
a A LaTex expression showing 2square root of 13 over 2
b A LaTex expression showing 4square root of 13
c A LaTex expression showing {(square root of 13)} to the power of 2 Pi
d A LaTex expression showing 50 over Pi
e A LaTex expression showing 2square root of 5 over 2Pi
f A LaTex expression showing 25 over 2 square root of 2
2
Find the side length of a square inscribed in a circle of area 3
An svg image showing a math problem
a A LaTex expression showing 9 over Pi
b A LaTex expression showing 5 to the power of 2 over 2 Pi
c A LaTex expression showing {5 over 2 } to the power of 2 Pi
d A LaTex expression showing 2square root of 3 over 2Pi
e A LaTex expression showing 4square root of 5
f A LaTex expression showing {(square root of 6)} to the power of 2 Pi
3
Find the side length of a square inscribed in a circle of area 8
An svg image showing a math problem
a A LaTex expression showing 128
b A LaTex expression showing 2square root of 8 over 2Pi
c A LaTex expression showing 128 over 2 square root of 2
d A LaTex expression showing 64 over Pi
e A LaTex expression showing 16Pi
f A LaTex expression showing 128 over 2 square root of 2
4
Find the side length of a square inscribed in a circle of area 7
An svg image showing a math problem
a A LaTex expression showing 14 over 2 square root of 2
b A LaTex expression showing 2square root of 7 over 2Pi
c A LaTex expression showing 14 to the power of 2 over 2 Pi
d A LaTex expression showing {98 over 2 } to the power of 2 Pi
e A LaTex expression showing 98
f A LaTex expression showing 25Pi
5
Find the side length of a square inscribed in a circle of area 6
An svg image showing a math problem
a A LaTex expression showing 2square root of 6 over 2Pi
b A LaTex expression showing 72
c A LaTex expression showing {(square root of 18)} to the power of 2 Pi
d A LaTex expression showing 2square root of 36 over 2Pi
e A LaTex expression showing 18Pi
f A LaTex expression showing {(square root of 36)} to the power of 2 Pi
6
Find the side length of a square inscribed in a circle of area 2
An svg image showing a math problem
a A LaTex expression showing 4
b A LaTex expression showing 2 over 2 square root of 2
c A LaTex expression showing 2
d A LaTex expression showing 2Pi
e A LaTex expression showing 2square root of 2 over 2Pi
f A LaTex expression showing 2square root of 4 over 2Pi
7
Find the side length of a square inscribed in a circle of area 4
An svg image showing a math problem
a A LaTex expression showing 16
b A LaTex expression showing 8
c A LaTex expression showing 16Pi
d A LaTex expression showing 2square root of 4 over 2Pi
e A LaTex expression showing {32 over 2 } to the power of 2 Pi
f A LaTex expression showing 16 to the power of 2 over 2 Pi