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

This math topic focuses on calculating the area of a circle with an inscribed square. Problems are given where the area of the square is known, and students are asked to determine the area of the circle. Seven questions are presented, each with a different square area (4, 9, 16, 25, 36, 49, 64). Each question has multiple-choice answers represented in various mathematical expressions and forms involving square roots, powers, and π (pi). The knowledge and skills practiced here include understanding geometric relationships and applying algebraic formulas to find areas.

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

Inscribed Square in Circle - Square Area to Circle Area Worksheet

Math worksheet on 'Inscribed Square in Circle - Square Area to Circle 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 circle that has a square inscribed with area 9

a

b

c

d

e

f

2

Find the area of the circle that has a square inscribed with area 16

a

b

c

d

e

f

3

Find the area of the circle that has a square inscribed with area 4

a

b

c

d

e

f

4

Find the area of the circle that has a square inscribed with area 36

a

b

c

d

e

f

5

Find the area of the circle that has a square inscribed with area 64

a

b

c

d

e

f

6

Find the area of the circle that has a square inscribed with area 49

a

b

c

d

e

f

7

Find the area of the circle that has a square inscribed with area 25

a

b

c

d

e

f