# 11+ Free Area and Circumference of a Circle Worksheet

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

**Table of Contents**show

## 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: 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 = ****ℼ****r²**.

Where, **ℼ**= It is a constant, which value is approximately 3.1416

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

Then the area of the circle will be, **Area = ****ℼ****r²**.

** = 3.1416 ****✕**** (7)²**.

** = 153.938 (approx) unit²**.

**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 = 2****ℼ****r**.

Here, the **ℼ**** (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.**

### Estimate Area from Radius

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

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

**Area = ****ℼ****(d/2)²**

** = ****¼** **ℼ****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 Radius or Diameter from Area

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

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

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

### Estimate Circumference from Diameter

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****ℼ****(d/2).** = **ℼ****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.

## Area and Circumference of a Circle: Mixed Problems

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 a proper geometrical skill. Please, download the worksheets and practice them.

Welcome to my blog. I am Fahim Shahriyar Dipto. Currently, I am working as a content developer in You Have Got This Math. I will post math-related articles here from now on. I have completed my bachelor’s degree in Mechanical Engineering from BUET. So, I am a mechanical graduate with a lot of interest in research and exploring new work. I always try to think of something creative and innovative. So, I choose to write creative content here.