Inscribed Circle in Square - Circle Radius to Square Side Length (Level 1)

This math topic focuses on finding the side length of a square that has an inscribed circle, given the radius of the circle. The topic engages learners in understanding the relationship between the radius of a circle inscribed in a square and the side length of that square. The problems cover multiple instances with different circle radii, challenging the learner to apply geometric principles and algebraic formulas to ascertain the side length of the square corresponding to each given circle radius. This is a fundamental exercise in understanding the properties of inscribed figures and the geometric relations therein.

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

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

Math worksheet on 'Inscribed Circle in Square - Circle Radius to Square Side Length (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 side length of a square that has an inscribed circle with radius 7

a

b

c

d

e

f

2

Find the side length of a square that has an inscribed circle with radius 2

a

b

c

d

e

f

3

Find the side length of a square that has an inscribed circle with radius 3

a

b

c

d

e

f

4

Find the side length of a square that has an inscribed circle with radius 8

a

b

c

d

e

f

5

Find the side length of a square that has an inscribed circle with radius 5

a

b

c

d

e

f

6

Find the side length of a square that has an inscribed circle with radius 4

a

b

c

d

e

f

7

Find the side length of a square that has an inscribed circle with radius 6

a

b

c

d

e

f