Inscribed Circle in Square - Square Area to Circle Area

Level 1

This math topic focuses on calculating the area of a circle inscribed within a square. It uses example problems where the area of the square is given, and the student is required to find the area of the inscribed circle. The problems cover a range of square areas, showing application of the mathematical concepts and formulas related to the circle's diameter, radius, and the relationship between the circle and the square's dimensions. This provides practice in using algebra and geometry to solve problems involving areas of two-dimensional figures.

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

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Inscribed Circle in Square - Square Area to Circle Area

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Find the area of the circle inscribed in a square with area 4

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Inscribed Circle in Square - Square Area to Circle Area Worksheet

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Math worksheet on 'Inscribed Circle in Square - Square Area 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 inscribed in a square with area 16
An svg image showing a math problem
a A LaTex expression showing 8Pi
b A LaTex expression showing 16 over 4 Pi
c A LaTex expression showing {(square root of 8)} to the power of 2 Pi
d A LaTex expression showing 2square root of 8 over 2
e A LaTex expression showing 32 over 4 Pi
f A LaTex expression showing {16 over 2 } to the power of 2 Pi
2
Find the area of the circle inscribed in a square with area 25
An svg image showing a math problem
a A LaTex expression showing 2square root of 25 over 2Pi
b A LaTex expression showing {10 over 2 } to the power of 2 Pi
c A LaTex expression showing 2square root of 10 over 2
d A LaTex expression showing 25 over 4 Pi
e A LaTex expression showing 50 over 4 Pi
f A LaTex expression showing 2square root of 10 over 2Pi
3
Find the area of the circle inscribed in a square with area 9
An svg image showing a math problem
a A LaTex expression showing 9 over 4 Pi
b A LaTex expression showing {9 over 2 } to the power of 2 Pi
c A LaTex expression showing {(square root of 9)} to the power of 2 Pi
d A LaTex expression showing 9
e A LaTex expression showing 18 over 4 Pi
f A LaTex expression showing {5 over 2 } to the power of 2 Pi
4
Find the area of the circle inscribed in a square with area 4
An svg image showing a math problem
a A LaTex expression showing {4 over 2 } to the power of 2 Pi
b A LaTex expression showing 8 over 4 Pi
c A LaTex expression showing 4 over 4 Pi
d A LaTex expression showing 4square root of 8
e A LaTex expression showing 4Pi
5
Find the area of the circle inscribed in a square with area 36
An svg image showing a math problem
a A LaTex expression showing 36 over 4 Pi
b A LaTex expression showing {72 over 2 } to the power of 2 Pi
c A LaTex expression showing 72 over 2 square root of 2
d A LaTex expression showing 72
e A LaTex expression showing 2square root of 72 over 2Pi
f A LaTex expression showing 72 over 4 Pi
6
Find the area of the circle inscribed in a square with area 49
An svg image showing a math problem
a A LaTex expression showing 25 over Pi
b A LaTex expression showing 2square root of 14 over 2Pi
c A LaTex expression showing {49 over 2 } to the power of 2 Pi
d A LaTex expression showing 49 over 4 Pi
e A LaTex expression showing 98 over 4 Pi
f A LaTex expression showing 4square root of 25