Working backwards with circumference Worksheet

8 problems

Circumference is the total length of the outer boundary of a circle. It can also be referred to as the perimeter of the circle. It is the product of the diameter and constant pi. You can get the circumference of a circle in units like centimeters, meters, kilometers, and so on. The circumference of a circle can be calculated by knowing either the radius or diameter of the circle.
 

Grade 7
Circles
7.G.B.4

Things to keep in mind while working backwards with circumference

 

  • Firstly, determine the radius or diameter of the circle. If not given, use the value of circumference to find the radius and diameter. 


 


 

  • The circumference of a circle is 2 Πr. The value of Π is constant i.e 3.14 or 22/7. 


 

Here is an example to solve the problem of working backward with the circumference. Let’s look at the given example mentioned below to understand more about the concept. 



 

                                       Circumference of a Circle =  2 Πr 

                                       Where, r = radius of the circle. 

                                                   Π = pi i.e. constant. 


 

 

 

 

 

Q. Find the radius of the circle whose circumference is 157 units. 


 

Step 1: Note the value of the circumference of a circle. 


 

Circumference of the circle = 157 units. 


 

Step 2: Use the circumference formula to identify the radius of the circle. 

So, 

Circumference of a circle = 2 Πr 

157 = 2 * 3.14 * r 

157 = 6.28 * r 

R = 157 / 6.28 = 25 cm. 


 

Hence, the radius of the circle is 25 cm. 


 

Why Should you use a working backward circumference worksheet for your students?

 

  • Working backward with a circumference worksheet will help your students to determine the radius and diameter of a circle easily. 


 

  • These worksheets will help your students to understand more about the circumference of a circle. 


 

  • Students can easily find the circumference, radius, and diameter of a circle using these worksheets. 
     

Download  Working Backwards with Circumference Worksheet PDF

 

You can download and print this super fun working backward with circumference worksheets from here for your students.

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