This math topic focuses on finding the side length of a square that has an inscribed circle, given the radius of the circle. The topic engages learners in understanding the relationship between the radius of a circle inscribed in a square and the side length of that square. The problems cover multiple instances with different circle radii, challenging the learner to apply geometric principles and algebraic formulas to ascertain the side length of the square corresponding to each given circle radius. This is a fundamental exercise in understanding the properties of inscribed figures and the geometric relations therein.

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

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Inscribed Circle in Square - Circle Radius to Square Side Length
1
Find the side length of a square that has an inscribed circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 18Pi
b A LaTex expression showing 2square root of 5 over 2Pi
c A LaTex expression showing 6
d A LaTex expression showing {(square root of 5)} to the power of 2 Pi
e A LaTex expression showing 2square root of 18 over 2Pi
f A LaTex expression showing 3
2
Find the side length of a square that has an inscribed circle with radius 8
An svg image showing a math problem
a A LaTex expression showing 8
b A LaTex expression showing {(square root of 64)} to the power of 2 Pi
c A LaTex expression showing {128 over 2 } to the power of 2 Pi
d A LaTex expression showing {16 over 2 } to the power of 2 Pi
e A LaTex expression showing 16
f A LaTex expression showing {64 over 2 } to the power of 2 Pi
3
Find the side length of a square that has an inscribed circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 12
b A LaTex expression showing {18 over 2 } to the power of 2 Pi
c A LaTex expression showing 72Pi
d A LaTex expression showing {(square root of 18)} to the power of 2 Pi
e A LaTex expression showing 6
4
Find the side length of a square that has an inscribed circle with radius 7
An svg image showing a math problem
a A LaTex expression showing 14
b A LaTex expression showing 2square root of 25 over 2
c A LaTex expression showing 2square root of 14 over 2Pi
d A LaTex expression showing 7
e A LaTex expression showing 25
f A LaTex expression showing 14 over Pi
5
Find the side length of a square that has an inscribed circle with radius 2
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 2
c A LaTex expression showing 4
d A LaTex expression showing 4square root of 8
e A LaTex expression showing 2square root of 4 over 2Pi
f A LaTex expression showing {4 over 2 } to the power of 2 Pi
6
Find the side length of a square that has an inscribed circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 4square root of 13
b A LaTex expression showing 10 over 2 square root of 2
c A LaTex expression showing 50 to the power of 2 over 2 Pi
d A LaTex expression showing 10 to the power of 2 over 2 Pi
e A LaTex expression showing 5
f A LaTex expression showing 10
7
Find the side length of a square that has an inscribed circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 4
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 4square root of 8
e A LaTex expression showing 8
f A LaTex expression showing {32 over 2 } to the power of 2 Pi