Inscribed Square in Circle - Square Side Length to Circle Area

Level 1

This math topic focuses on the relationship between the side length of an inscribed square and the area of the circumcircle. Problems require finding the area of circles based on given side lengths of inscribed squares. Each question presents a different square side length, ranging from 2 to 8, and multiple possible answers represented through various mathematical expressions. This topic is foundational within a unit dedicated to understanding the properties and calculations related to inscribed 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 Side Length to Circle Area

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Find the area of the circle that has a square inscribed with side length 7

7

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

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Math worksheet on 'Inscribed Square in Circle - Square Side Length to Circle 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 circle that has a square inscribed with side length 7
An svg image showing a math problem
a A LaTex expression showing 14Pi
b A LaTex expression showing 49 over Pi
c A LaTex expression showing 7 to the power of 2 over 2 Pi
d A LaTex expression showing {49 over 2 } to the power of 2 Pi
e A LaTex expression showing 3 to the power of 2 over 2 Pi
f A LaTex expression showing 2square root of 25 over 2
2
Find the area of the circle that has a square inscribed with side length 2
An svg image showing a math problem
a A LaTex expression showing 2 to the power of 2 over 2 Pi
b A LaTex expression showing 4 over Pi
c A LaTex expression showing 2square root of 4 over 2Pi
d A LaTex expression showing {2 over 2 } to the power of 2 Pi
e A LaTex expression showing 1 to the power of 2 over 2 Pi
f A LaTex expression showing 2square root of 2 over 2Pi
3
Find the area of the circle that has a square inscribed with side length 8
An svg image showing a math problem
a A LaTex expression showing 4 to the power of 2 over 2 Pi
b A LaTex expression showing 8 to the power of 2 over 2 Pi
c A LaTex expression showing 128 over 2 square root of 2
d A LaTex expression showing {16 over 2 } to the power of 2 Pi
e A LaTex expression showing 64 over Pi
4
Find the area of the circle that has a square inscribed with side length 4
An svg image showing a math problem
a A LaTex expression showing 32 over 2 square root of 2
b A LaTex expression showing 16 over Pi
c A LaTex expression showing 2 to the power of 2 over 2 Pi
d A LaTex expression showing 16
e A LaTex expression showing {8 over 2 } to the power of 2 Pi
f A LaTex expression showing 4 to the power of 2 over 2 Pi
5
Find the area of the circle that has a square inscribed with side length 3
An svg image showing a math problem
a A LaTex expression showing 5Pi
b A LaTex expression showing 4square root of 9
c A LaTex expression showing {18 over 2 } to the power of 2 Pi
d A LaTex expression showing 3 to the power of 2 over 2 Pi
e A LaTex expression showing 1 to the power of 2 over 2 Pi
f A LaTex expression showing 9 over Pi
6
Find the area of the circle that has a square inscribed with side length 5
An svg image showing a math problem
a A LaTex expression showing 10 to the power of 2 over 2 Pi
b A LaTex expression showing 50 over Pi
c A LaTex expression showing 2square root of 13 over 2Pi
d A LaTex expression showing 2 to the power of 2 over 2 Pi
e A LaTex expression showing {(square root of 50)} to the power of 2 Pi
f A LaTex expression showing 5 to the power of 2 over 2 Pi
7
Find the area of the circle that has a square inscribed with side length 6
An svg image showing a math problem
a A LaTex expression showing 2square root of 12 over 2Pi
b A LaTex expression showing 12
c A LaTex expression showing 72 over Pi
d A LaTex expression showing 3 to the power of 2 over 2 Pi
e A LaTex expression showing 18 over Pi
f A LaTex expression showing 6 to the power of 2 over 2 Pi