Important Formulas to Find Area & Circumference of a Circle

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A circle is a collection of points present at equal distances (radius) from a fixed point (centre) on the plane.

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At the centre of the circle is a fixed point called the centre or origin of the circle.

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The radius of a circle is defined as the distance between its centre and any point on its circumference. It's commonly represented by' R' or 'r'.

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Diameter

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Circumference of Circle

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Circumference of a Circle Formula

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Example 1

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Area

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Area of a Circle

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Example 2

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Example 3

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Important Formulas to Find Area & Circumference of a Circle

A circle is a collection of points present at equal distances (radius) from a fixed point (centre) on the plane.

Definition of a Circle

At the centre of the circle is a fixed point called the centre or origin of the circle.

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The radius of a circle is defined as the distance between its centre and any point on its circumference. It's commonly represented by' R' or 'r'.

Radius

Diameter

- The diameter of a circle is a line segment formed by joining two points lying on the opposite side. - It passes through the centre of the circle. - It is denoted by ‘D’ or‘ d ‘.

Diameter = 2 x Radius

Circumference of Circle

- The circumference is the measurement of the length of a circle's boundary. - It's also known as the circle's perimeter.

Circumference of a Circle Formula

Where 'r' is the circumference of the circle and (Pi) is the mathematical constant having a value of 3.14.

Example 1

Calculate the circumference of a circle whose radius is 8cm

Area

The space occupied by a flat shape or the surface of an object is called the area.

Note: Area measured in square units.

Area of a Circle

Where π = 22/7 or 3.14

Example 2

Find the area of a circle whose radius is 15 mm.

Example 3

Calculate the area and circumference of a circle whose radius is 5cm