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

This math topic focuses on finding the radius of a circle that is inscribed within a square, given the area of the square. Each question presents different square areas, ranging from 4 to 49, and requires calculating the corresponding inscribed circle's radius. Multiple choice answers are provided for each problem, with the format suggesting a need for understanding and applying geometric relationships and formulas, notably the relationship between the side length of the square and the diameter of the inscribed circle. This includes some calculations with square roots and rationalizing denominators. This topic is part of an introduction to inscribed squares and circles.

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

Inscribed Circle in Square - Square Area to Circle Radius Worksheet

Math worksheet on 'Inscribed Circle in Square - Square Area to Circle Radius (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 radius of the circle inscribed in a square with area 49

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f

2

Find the radius of the circle inscribed in a square with area 25

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b

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d

e

f

3

Find the radius of the circle inscribed in a square with area 36

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b

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d

e

f

4

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

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b

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d

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f

5

Find the radius of the circle inscribed in a square with area 64

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b

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d

e

f

6

Find the radius of the circle inscribed in a square with area 16

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b

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d

e

f

7

Find the radius of the circle inscribed in a square with area 9

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b

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f