Inscribed Square in Circle - Circle Area to Square Area

Level 1

This math topic involves finding the area of a square inscribed in a circle given various circle areas. It includes problems where the circle's area is explicitly provided, such as 2, 3, 4, 5, 6, 7, and 8 square units, challenging the students to derive the area of the square inscribed within each circle. Multiple choice answers accompany the questions, requiring application of geometry, algebra, and principles of the relationship between the area of a circle and the area of a square inscribed within it. This topic is fundamental for students learning about geometric properties and relationships.

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Inscribed Square in Circle - Circle Area to Square Area

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Find the area of the square inscribed in a circle of area 5

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Inscribed Square in Circle - Circle Area to Square Area Worksheet

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Math worksheet on 'Inscribed Square in Circle - Circle Area 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 inscribed in a circle of area 4
An svg image showing a math problem
a A LaTex expression showing 4 over Pi
b A LaTex expression showing 8 over Pi
c A LaTex expression showing 4square root of 8
d A LaTex expression showing 16 over Pi
e A LaTex expression showing {8 over 2 } to the power of 2 Pi
f A LaTex expression showing {32 over 2 } to the power of 2 Pi
2
Find the area of the square inscribed in a circle of area 2
An svg image showing a math problem
a A LaTex expression showing 4 over Pi
b A LaTex expression showing 4 over 2 square root of 2
c A LaTex expression showing 2square root of 2 over 2Pi
d A LaTex expression showing 2 over Pi
e A LaTex expression showing 4square root of 4
3
Find the area of the square inscribed in a circle of area 6
An svg image showing a math problem
a A LaTex expression showing 36Pi
b A LaTex expression showing 36
c A LaTex expression showing {18 over 2 } to the power of 2 Pi
d A LaTex expression showing 6 over Pi
e A LaTex expression showing 12 over Pi
f A LaTex expression showing {72 over 2 } to the power of 2 Pi
4
Find the area of the square inscribed in a circle of area 5
An svg image showing a math problem
a A LaTex expression showing 10 over Pi
b A LaTex expression showing 13
c A LaTex expression showing 25 over 2 square root of 2
d A LaTex expression showing 4square root of 50
e A LaTex expression showing 5 over Pi
f A LaTex expression showing 13 over Pi
5
Find the area of the square inscribed in a circle of area 3
An svg image showing a math problem
a A LaTex expression showing 6
b A LaTex expression showing 6 over Pi
c A LaTex expression showing {(square root of 6)} to the power of 2 Pi
d A LaTex expression showing 3 over Pi
e A LaTex expression showing 18
f A LaTex expression showing 18 to the power of 2 over 2 Pi
6
Find the area of the square inscribed in a circle of area 7
An svg image showing a math problem
a A LaTex expression showing {(square root of 98)} to the power of 2 Pi
b A LaTex expression showing 7 over Pi
c A LaTex expression showing 98
d A LaTex expression showing 2square root of 98 over 2Pi
e A LaTex expression showing 98 over Pi
f A LaTex expression showing 14 over Pi
7
Find the area of the square inscribed in a circle of area 8
An svg image showing a math problem
a A LaTex expression showing {(square root of 128)} to the power of 2 Pi
b A LaTex expression showing {64 over 2 } to the power of 2 Pi
c A LaTex expression showing 16Pi
d A LaTex expression showing 8 over Pi
e A LaTex expression showing 16 over Pi
f A LaTex expression showing 128