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11+ Free Area and Circumference of a Circle Worksheet

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This area and circumference of a circle worksheet contain different practice problems for estimating the area and circumference of a circle. The area and the circumference can be determined through radius diameter or both.


5 Different Ways to Calculate the Area of a Circle

We have discussed calculating the area of a circle. Each method contains 2 free pages for practice problems. You can also follow this fact from this area and perimeter anchor chart.


area and circumference of a circle

Area from Radius

Worksheet #1

Area from Diameter

Worksheet #2

Area from Radius/Diameter

Worksheet #3

Radius/Diameter from Area

Worksheet #4

Area from Circumference

Worksheet #5

Circumference from Radius

Worksheet #6

From Diameter

Worksheet #7

From Radius/Diameter

Worksheet #8

Finding Radius/Diameter

Worksheet #9

Circumference from Area

Worksheet #10

Mixed Problems

Worksheet #11

Area and Circumference of a Circle: Definition with Examples

Area: The area is the enclosed surface of the circle.

While measuring the area you need to know the radius of the circle. Then the following formula will calculate the area of the circle. The formula is

Area = .

Where, = It is a constant, whose value is approximately 3.1416

r= Radius of the circle. Suppose, you have a circle whose radius is 7 units.

Then the area of the circle will be, Area = .

                                                                = 3.1416 (7)².

                                                                = 153.938 (approx) unit².

1- area of a circle

Circumference: Circumference is defined as the length of the outer boundary of the circle.

If we know the radius of the circle, then the circumference will be, Circumference = 2r.

Here, the (pi) is the constant value and r is the radius of the circle. 

Suppose, you have a circle of radius 5 units. Then the circumference will be,

Circumference = 2 3.1416 5 unit.                           

                         = 31.4159 (approx) units.

2- circumference of a circle


Estimate Area from the Radius of a Circle

Here is the area and circumference of a circle worksheet where you need to calculate the area of the circles by their radius.


Calculate the Area from the Diameter of a Circle

If the diameter of the circle is “d”. Then the area will be

Area = (d/2)²

         = ¼ d².

Practice the below PDF problems of the area and circumference of a circle worksheet.


Finding Area from Radius or Diameter

Now, here in this worksheet, you will find problems both for the radius and the diameter. From there, you need to calculate the area.

This is the PDF of the area and circumference of a circle worksheet.


Evaluate the Radius or Diameter from the Area of a Circle

In this worksheet, you need to find the radius or diameter of the area. Both the sheets are specified whether you have to find the radius or the diameter.

The PDF of the area and circumference of a circle worksheet is attached here.


Calculate the Area from Circumference

Try to solve the practice problems we have given in the below worksheet.


5 Interactive Methods to Estimate Circumference of Circle

Like calculating the area of a circle, there are also different ways to calculate the circumference of a circle. The process is similar. You can calculate the circumference from the radius, from the diameter. Also from the area. The methods are described below.


Calculate Circumference from Radius of a Circle

Suppose, you have found out the radius of a circle then the circumference of that circle will be 2r.

This is the PDF of the area and circumference of a circle worksheet from the radius.


Estimate Circumference from the Diameter of a Circle

As you know by now the diameter is double the radius which means if the diameter is indicated by “d” then d = 2r. So the circumference = 2(d/2). = d.

Here, is the PDF of the area and circumference of a circle worksheet. Practice them thoroughly to acquire this mathematical skill.


Calculate Circumference from Radius or Diameter

In this PDF, we have attached problems for both the radius and the diameter. Here is the PDF of the area and circumference of a circle worksheet.


Finding Radius or Diameter from Circumference

In this worksheet, the students need to find out the radius or diameter from the circumference.

This is the PDF of the area and circumference of a circle worksheet. Practice the problems to acquire skills in this sector.


Evaluate Circumference from Area

If you know the are then you need to find out the radius from the area then from the radius you need to estimate the circumference. The area and circumference of a circle worksheet is below for your practice.


Mixed Problems for Area and Circumference of a Circle

Here are some word problems and problems where you need to calculate the area and circumference of a circle worksheet. We strongly believe you are able to calculate the area and circumference by now. So, some mixed problems are attached here.


Download Practice Worksheet PDF

This is the combined PDF of all the worksheets for the practice of the students.


So, these are our PDFs for the area and circumference of a circle worksheet. Here, different methods for calculating the area and circumference are attached. By practicing these free printable worksheets, students will be able to gain proper geometrical proficiency. Please, download the worksheets and practice them.

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