Area of Sector Calculator

Cuemath's Area of a Sector Calculator' is an online tool that calculates the area of a sector.

What Is Area of a Sector Calculator Calculator?

A sector is a part of a circle whose radius is equal to the radius of the circle. A semicircle is also a sector having the centre angle of 180°. Cuemath's Area of a Sector Calculator' is an online tool that calculates the area of a sector within a few seconds.

How to Use the Area of a Sector Calculator Calculator?

Please follow the steps mentioned below to use the area of a sector calculator.

• Step 1: Enter the value of radius and angle formed at centre of the circle by the sector.
• Step 2: Click on "Calculate" to find the area of the sector.
• Step 3: Click on "Reset" to reset the fields and enter the new values.

How to Calculate the Area of a Sector?

If the radius of the circle is (r) and the angle of the sector is (θ), then the formula used to calculate the area of the sector is:

Solved Example:

Find the area of a sector whose radius and angle formed at the centre are 7 units and 60° respectively. Use (п =3.14)

Solution:

Substitute the values of radius and angle (θ) in the formula of the area of a sector:

Area of the sector = (θ/360°) × пr²

                           = (60°/360°) × 3.14 × 7²

                           = 1/6 × 153.86

                           = 25.67 square units

Therefore, the area of the sector is 25.67 square units.

Now, use the calculator and find the area of the sector whose radius and angle are as follows.

• Radius = 20 units, Angle = 75°
• Radius = 189 units, Angle = 128°