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 Worksheet

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Inscribed Square in Circle - Square Area to Circle Radius
1
Find the radius of the circle with a square of area 25 inscribed
An svg image showing a math problem
a A LaTex expression showing 2square root of 13 over 2
b A LaTex expression showing {13 over 2 } to the power of 2 Pi
c A LaTex expression showing 13 over Pi
d A LaTex expression showing 50 over 4 square root of 2
e A LaTex expression showing 25 over 4 square root of 2
f A LaTex expression showing 25 to the power of 2 over 2 Pi
2
Find the radius of the circle with a square of area 4 inscribed
An svg image showing a math problem
a A LaTex expression showing 8 over 4 square root of 2
b A LaTex expression showing 2square root of 4 over 2Pi
c A LaTex expression showing 4 over 4 square root of 2
d A LaTex expression showing 8 over 2 square root of 2
e A LaTex expression showing 4Pi
f A LaTex expression showing 2square root of 4 over 2
3
Find the radius of the circle with a square of area 49 inscribed
An svg image showing a math problem
a A LaTex expression showing 25 over Pi
b A LaTex expression showing 98 over 4 square root of 2
c A LaTex expression showing 2square root of 25 over 2
d A LaTex expression showing 49
e A LaTex expression showing 49 over 4 square root of 2
f A LaTex expression showing 14 to the power of 2 over 2 Pi
4
Find the radius of the circle with a square of area 9 inscribed
An svg image showing a math problem
a A LaTex expression showing 6 over 2 square root of 2
b A LaTex expression showing {5 over 2 } to the power of 2 Pi
c A LaTex expression showing 9 over 4 square root of 2
d A LaTex expression showing 4square root of 6
e A LaTex expression showing 18 over 4 square root of 2
f A LaTex expression showing 9 over Pi
5
Find the radius of the circle with a square of area 64 inscribed
An svg image showing a math problem
a A LaTex expression showing {64 over 2 } to the power of 2 Pi
b A LaTex expression showing 128 over 4 square root of 2
c A LaTex expression showing 32 over Pi
d A LaTex expression showing 64 over 4 square root of 2
e A LaTex expression showing 64 over Pi
f A LaTex expression showing 2square root of 16 over 2Pi
6
Find the radius of the circle with a square of area 16 inscribed
An svg image showing a math problem
a A LaTex expression showing 8 over Pi
b A LaTex expression showing 32 over 4 square root of 2
c A LaTex expression showing {16 over 2 } to the power of 2 Pi
d A LaTex expression showing 32
e A LaTex expression showing 16 over 4 square root of 2
f A LaTex expression showing 2square root of 8 over 2Pi
7
Find the radius of the circle with a square of area 36 inscribed
An svg image showing a math problem
a A LaTex expression showing {(square root of 36)} to the power of 2 Pi
b A LaTex expression showing 72 over 2 square root of 2
c A LaTex expression showing 36 over 4 square root of 2
d A LaTex expression showing 2square root of 36 over 2
e A LaTex expression showing 72 over 4 square root of 2
f A LaTex expression showing {36 over 2 } to the power of 2 Pi