Inscribed Circle in Square - Square Side Length to Circle Area

Level 1

This math topic focuses on finding the area of a circle inscribed within a square. Each problem provides a different side length for the square, and students are required to determine the circle's area. The skills practiced include applying the formula for the area of a circle and understanding the relationship between the diameter of the inscribed circle and the side length of the square. Each question offers multiple answer choices, including expressions involving \(\pi\) and square roots, enhancing the understanding of geometric properties and algebraic manipulation.

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

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

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Inscribed Circle in Square - Square Side Length to Circle Area
1
Find the area of the circle inscribed in a 7x7 square
An svg image showing a math problem
a A LaTex expression showing 25
b A LaTex expression showing {14 over 2 } to the power of 2 Pi
c A LaTex expression showing {({7 over 2 })} to the power of 2 Pi
d A LaTex expression showing {49 over 2 } to the power of 2 Pi
e A LaTex expression showing {({3 over 2 })} to the power of 2 Pi
f A LaTex expression showing 2square root of 49 over 2
2
Find the area of the circle inscribed in a 4x4 square
An svg image showing a math problem
a A LaTex expression showing {16 over 2 } to the power of 2 Pi
b A LaTex expression showing {({2 over 2 })} to the power of 2 Pi
c A LaTex expression showing 4square root of 32
d A LaTex expression showing {({4 over 2 })} to the power of 2 Pi
e A LaTex expression showing {32 over 2 } to the power of 2 Pi
f A LaTex expression showing {8 over 2 } to the power of 2 Pi
3
Find the area of the circle inscribed in a 6x6 square
An svg image showing a math problem
a A LaTex expression showing 4square root of 12
b A LaTex expression showing {({3 over 2 })} to the power of 2 Pi
c A LaTex expression showing {({6 over 2 })} to the power of 2 Pi
d A LaTex expression showing {18 over 2 } to the power of 2 Pi
e A LaTex expression showing 18 over Pi
f A LaTex expression showing 2square root of 36 over 2Pi
4
Find the area of the circle inscribed in a 5x5 square
An svg image showing a math problem
a A LaTex expression showing {({2 over 2 })} to the power of 2 Pi
b A LaTex expression showing 25
c A LaTex expression showing 50Pi
d A LaTex expression showing {({5 over 2 })} to the power of 2 Pi
e A LaTex expression showing 13Pi
f A LaTex expression showing 25 over 2 square root of 2
5
Find the area of the circle inscribed in a 2x2 square
An svg image showing a math problem
a A LaTex expression showing {2 over 2 } to the power of 2 Pi
b A LaTex expression showing {({2 over 2 })} to the power of 2 Pi
c A LaTex expression showing 4 over Pi
d A LaTex expression showing {4 over 2 } to the power of 2 Pi
e A LaTex expression showing {(square root of 4)} to the power of 2 Pi
f A LaTex expression showing {({1 over 2 })} to the power of 2 Pi
6
Find the area of the circle inscribed in a 8x8 square
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 2square root of 64 over 2
c A LaTex expression showing {({8 over 2 })} to the power of 2 Pi
d A LaTex expression showing 64 over Pi
e A LaTex expression showing 2square root of 64 over 2Pi
f A LaTex expression showing 2square root of 32 over 2