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

This math topic focuses on finding the area of a square when an inscribed circle's area is given. It involves using geometric formulas relating the circle's area to the square's side length. By applying the formula for the area of a circle and properties of inscribed shapes, students calculate the corresponding area of the square. The problems increase in difficulty by presenting circles with different areas, requiring students to manipulate algebraic expressions to solve for the square's area. Multiple choice answers apply various algebraic and geometric expressions for solution verification.

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

Inscribed Circle in Square - Circle Area to Square Area Worksheet

Math worksheet on 'Inscribed Circle in Square - 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 that has an inscribed circle of area 4

a

b

c

d

e

2

Find the area of the square that has an inscribed circle of area 7

a

b

c

d

e

f

3

Find the area of the square that has an inscribed circle of area 8

a

b

c

d

e

f

4

Find the area of the square that has an inscribed circle of area 3

a

b

c

d

e

f

5

Find the area of the square that has an inscribed circle of area 6

a

b

c

d

e

f

6

Find the area of the square that has an inscribed circle of area 5

a

b

c

d

e

f

7

Find the area of the square that has an inscribed circle of area 2

a

b

c

d

e

f