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

This math topic focuses on calculating the radius of circles that have squares inscribed within them, using the given areas of the squares. Each question presents a scenario where the area of the square inscribed within a circle is known, and the task is to determine the circle's radius. The problems involve various mathematical expressions and calculations to deduce the radius from the area of the square. This set of problems is a part of broader learning units on inscribed shapes, particularly concerning squares and circles.

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

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Inscribed Square in Circle - Square Area to Circle Radius

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Find the radius of the circle that has a square inscribed with area 9

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Inscribed Square in Circle - Square Area to Circle Radius Worksheet

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Math worksheet on 'Inscribed Square in Circle - Square Area to Circle Radius (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 radius of the circle that has a square inscribed with area 25
An svg image showing a math problem
a A LaTex expression showing 25 over Pi
b A LaTex expression showing 50 over 2 square root of 2
c A LaTex expression showing {(square root of 10)} to the power of 2 Pi
d A LaTex expression showing 2square root of 10 over 2
e A LaTex expression showing 25 over 4 square root of 2
f A LaTex expression showing 13Pi
2
Find the radius of the circle that has a square inscribed with area 9
An svg image showing a math problem
a A LaTex expression showing 9 over 4 square root of 2
b A LaTex expression showing 18 over 2 square root of 2
c A LaTex expression showing 4square root of 6
d A LaTex expression showing {(square root of 5)} to the power of 2 Pi
e A LaTex expression showing {18 over 2 } to the power of 2 Pi
f A LaTex expression showing 18 over Pi
3
Find the radius of the circle that has a square inscribed with area 16
An svg image showing a math problem
a A LaTex expression showing 8
b A LaTex expression showing 2square root of 16 over 2
c A LaTex expression showing 16 over 4 square root of 2
d A LaTex expression showing 16
e A LaTex expression showing 32 over Pi
f A LaTex expression showing 16 over Pi
4
Find the radius of the circle that has a square inscribed with area 36
An svg image showing a math problem
a A LaTex expression showing 12 over Pi
b A LaTex expression showing {72 over 2 } to the power of 2 Pi
c A LaTex expression showing 36 over 4 square root of 2
d A LaTex expression showing 4square root of 72
e A LaTex expression showing 36 to the power of 2 over 2 Pi
f A LaTex expression showing 18 over 2 square root of 2
5
Find the radius of the circle that has a square inscribed with area 64
An svg image showing a math problem
a A LaTex expression showing 32 over Pi
b A LaTex expression showing 128 over Pi
c A LaTex expression showing 128 to the power of 2 over 2 Pi
d A LaTex expression showing 2square root of 32 over 2Pi
e A LaTex expression showing 16 over Pi
f A LaTex expression showing 64 over 4 square root of 2
6
Find the radius of the circle that has a square inscribed with area 49
An svg image showing a math problem
a A LaTex expression showing 25 over 2 square root of 2
b A LaTex expression showing 4square root of 98
c A LaTex expression showing {(square root of 25)} 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 {98 over 2 } to the power of 2 Pi
f A LaTex expression showing 49 over 4 square root of 2
7
Find the radius of the circle that has a square inscribed with area 4
An svg image showing a math problem
a A LaTex expression showing 4square root of 4
b A LaTex expression showing 4 over 2 square root of 2
c A LaTex expression showing 4 to the power of 2 over 2 Pi
d A LaTex expression showing 4 over 4 square root of 2
e A LaTex expression showing 2square root of 4 over 2Pi
f A LaTex expression showing 4