# Area of a Circle Calculator

Area **calculation** is one of the most **basic** measurements done by **Mathematics** students. Being one of the most basic figures of **Geometry**, it is important for every **student **to learn how to find the **Area** of a **Circle**. The process is pretty simple if you know about what this **figure** is, its parts, and the **formula** to find the area.

But if you don’t know about it **deeply**, you can also use the **Area of a Circle calculator**. To find the area with the **help** of this Math Calculator, you only need to **copy** the given input **values** and insert them. The tool will **automatically** perform the calculations and give you the **final** answer. Here we will **guide** you on how to use this **tool** as well as **explore** the details of this specific **Geometrical** figure.

**Table of Contents**

## Area of a Circle Definition

In **Mathematics**, the term **Area** is used to show the **region** covered by a **specific** figure or **object**. The Area of a Circle means the **region** that is **covered **by a circle when **drawn **on paper or in a** real-life** field. In simple **words,** the region that comes under the **boundaries **of the circle will be **termed** its area.

This calculation doesn’t only **important** for subjective purposes but also has **great** importance in **professional** study. It is common to find the **area** of a specific field **designed** in a circular **shape**. For this **purpose,** many students look for a handy tool like the area of a circle **calculator **that can **perform **this calculation **quickly**. If you want to know about it **deeply **for manual calculation, the **upcoming** sections will **help** you a lot.

### Parts of a Circle

Like other **Geometrical** figures, a **Circle** also has specific **parts** that we are going to **discuss **here.

**Cente**r: It is a fixed point that is equidistant from all points of the boundary of the circle.**Radius**: The distance of any point on the boundary of the circle from its center is called Radius.**Circumference**: The boundary of the circle is called Circumference in terms of Mathematics.**Diameter**: It is the distance between two points on the circumference when the joining line is passing from the center of the circle. A Diameter is the largest line (chord) of any circle.**Arc**: Any specific part of the complete circumference is called an Arc.**Chord**: A line connecting two points on the circumference of the circle without passing through the center is called a Chord.

These are some **important** parts of the circle that you **should** know to **perform** different calculations like **Area **calculation. Keep in **mind** you need to have **basic** knowledge about **them **even when you are **using **an Area of a **circle **calculator.

### Formula of Circle Area

**Depending** on the above-**mentioned **parts, the Area of a **Circle **has multiple **formulas**. Here we have **enlisted** some important and most-used **formulas** for this calculation.

**Area of a Circle (For Radius):**

Area = 𝞹 x r^{2}

**Area of a Circle (For Diameter):**

Area = 𝞹 x r^{2}

**Area of a Circle (For Circumference):**

Area = C^{2}/4𝞹

You can use any of these formulas according to the given data to find the area of the circle.

### How to Calculate the Area of a Circle?

To find the area of a circle, you only have to put the values in the above-given formulas. Let us share a few examples with you for better understanding.

**Example 1:**

Find the Area of a circle if its radius is 4 cm.

**Solution:**

As we know,

Area = 𝞹 x r^{2}

So,

= 3.14 x (4)^{2}

= 50.27 cm^{2}

**Example 2:**

Find the Area of a Circle if its Diameter is 16 cm.

**Solution:**

As we know,

Area = 𝞹 x (d/2)^{2}

So,

Area = 3.14 x (16/2)^{2}

= 3.14 (64)

= 201.06 cm^{2}

### How to use the Area of a Circle Calculator?

Calculator’s Bag has designed one of the finest tools to find the Area of a Circle. Follow these steps to find the Area of a circle with specific values.

- Insert the given measurement (Radius or Diameter)
- The tool will automatically calculate the Area and give the answer

### FAQ | Area of a Circle

**What are the 2 formulas for the area of a circle?**

To find the Area of a circle, the 2 most used formulas are,

Area = 𝞹 x r^{2}(When the radius is given)

Area = 𝞹 x (d/2)^{2}(When the diameter is given)

**How do you find an area with a diameter?**

To find the Area of a circle if the diameter is given, we need to use the following formula. Area = 𝞹 x (d/2)^{2}

**How do you find an area with a radius, diameter, and circumference? **

To find an Area using radius, diameter, and circumference, you need to use the following formulas respectively.

Area = 𝞹 x r^{2}

Area = 𝞹 x (d/2)^{2}

Area = C^{2}/4𝞹

**Is the formula for circumference and area the same? **

No, circumference is the boundary of a circle while the area is the whole region that comes under a circle. Both quantities have different formulas and methods to calculate them.

**How to find the part of the area of a circle? **

It is not possible to find a specific part of the area of a circle. But you can find the measurements for different parts of the circle like radius, diameter, and chord using different approaches.