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

This math topic focuses on finding the area of a square given the radius of an inscribed circle. It forms part of an introductory unit on inscribed squares and circles. The problems provide a radius for the circle inscribed in a square and challenge the student to calculate the corresponding square's area. There are multiple choice answers available for each problem, integrating some complex calculations and use of geometric formulas. The answers represent the areas in various algebraic expressions, making it a practice on both geometry and algebra skills.

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

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Inscribed Circle in Square - Circle Radius to Square Area

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Find the area of the square that has an inscribed circle with radius 6

r=6

Inscribed Circle in Square - Circle Radius to Square Area Worksheet

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Math worksheet on 'Inscribed Circle in Square - Circle Radius to Square 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 square that has an inscribed circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 36 over 2 square root of 2
b A LaTex expression showing 2square root of 36 over 2
c A LaTex expression showing 144
d A LaTex expression showing {18 over 2 } 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 12 over Pi
2
Find the area of the square that has an inscribed circle with radius 8
An svg image showing a math problem
a A LaTex expression showing 2square root of 128 over 2Pi
b A LaTex expression showing 2square root of 32 over 2
c A LaTex expression showing 32 to the power of 2 over 2 Pi
d A LaTex expression showing 64 over Pi
e A LaTex expression showing 4square root of 32
f A LaTex expression showing 256
3
Find the area of the square that has an inscribed circle with radius 2
An svg image showing a math problem
a A LaTex expression showing 8 over Pi
b A LaTex expression showing 4square root of 4
c A LaTex expression showing 16
d A LaTex expression showing 4 over Pi
e A LaTex expression showing 2square root of 8 over 2
f A LaTex expression showing 2 over 2 square root of 2
4
Find the area of the square that has an inscribed circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 100
b A LaTex expression showing 2square root of 50 over 2
c A LaTex expression showing {10 over 2 } to the power of 2 Pi
d A LaTex expression showing {(square root of 50)} to the power of 2 Pi
e A LaTex expression showing {25 over 2 } to the power of 2 Pi
f A LaTex expression showing 4square root of 50
5
Find the area of the square that has an inscribed circle with radius 3
An svg image showing a math problem
a A LaTex expression showing {6 over 2 } to the power of 2 Pi
b A LaTex expression showing 9 over Pi
c A LaTex expression showing {(square root of 18)} to the power of 2 Pi
d A LaTex expression showing 36
e A LaTex expression showing 2square root of 5 over 2Pi
f A LaTex expression showing 5 over Pi
6
Find the area of the square that has an inscribed circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 2square root of 16 over 2
b A LaTex expression showing 64
c A LaTex expression showing 4square root of 16
d A LaTex expression showing 2square root of 16 over 2Pi
e A LaTex expression showing 2square root of 16 over 2
f A LaTex expression showing 2square root of 16 over 2Pi
7
Find the area of the square that has an inscribed circle with radius 7
An svg image showing a math problem
a A LaTex expression showing 196
b A LaTex expression showing 2square root of 25 over 2
c A LaTex expression showing 14 over Pi
d A LaTex expression showing 49 over Pi
e A LaTex expression showing 98 over Pi
f A LaTex expression showing 98 over Pi