Area of a Circle - Equation to Radius (Level 1)

This math topic focuses on determining the radius of a circle from its area. It challenges the student's understanding of the formula for the area of a circle, \( A = \pi r^2 \), by having them reverse-engineer the equation to find the value of \( r \) (radius). Presented with LaTeX-rendered equations for the area expressed in terms of \( \pi \) and a square value, students must select the correct radius value from multiple choices given in each problem. The overall theme falls under introductory circle geometry, enhancing skills in working with pi (\( \pi \)), squares, and basic algebraic manipulation.

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

Area of a Circle - Equation to Radius Worksheet

Math worksheet on 'Area of a Circle - Equation to Radius (Level 1)'. Part of a broader unit on 'Geometry - Circle Area - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_area_intro/

1

Given this equation for the area, what is the radius of this circle

a

r = 8

b

r = 13

c

r = 9

d

r = 12

e

r = 14

f

r = 10

2

Given this equation for the area, what is the radius of this circle

a

r = 9

b

r = 4

c

r = 0

d

r = 7

e

r = 5

f

r = 6

3

Given this equation for the area, what is the radius of this circle

a

r = 12

b

r = 11

c

r = 6

d

r = 8

e

r = 9

f

r = 5

4

Given this equation for the area, what is the radius of this circle

a

r = 2

b

r = 7

c

r = 3

d

r = 10

e

r = 6

f

r = 5

5

Given this equation for the area, what is the radius of this circle

a

r = 7

b

r = 1

c

r = 0

d

r = 2

e

r = 5

f

r = 3

6

Given this equation for the area, what is the radius of this circle

a

r = 6

b

r = 9

c

r = 5

d

r = 11

e

r = 8

f

r = 7

7

Given this equation for the area, what is the radius of this circle

a

r = 10

b

r = 3

c

r = 8

d

r = 7

e

r = 11

f

r = 2