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.

Secondly, use the circumference formula to get an appropriate result.

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.

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.

Secondly, use the circumference formula to get an appropriate result.

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.

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.

Secondly, use the circumference formula to get an appropriate result.

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.

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