Calculating Arc Length Of A Curve: Formula And Examples

Area of a sector

A = 1/2 r²θ(radius squared x central angle *in radians*)

The area of a sector is a portion of the area of a circle enclosed by a central angle and bounded by two radii. To calculate the area of a sector, you need to know the central angle and the radius of the circle.

The formula for the area of a sector is:

Area = (θ/360) × πr²

Where,
θ= central angle in degrees
r= radius of the circle
π = 3.14159265359 (pi)

To use the formula, first, find the central angle of the sector in degrees. Then, substitute both values in the formula and solve for the area.

For example, if the radius of a circle is 4 cm and the central angle of the sector is 60 degrees, the area of the sector can be calculated as follows:

Area = (60/360) × 3.14159265359 × 4²
Area = 0.16666666667 × 50.2654824574
Area = 8.37758040957 square centimeters

So, the area of the sector with a radius of 4 cm and a central angle of 60 degrees is 8.37758040957 square centimeters.

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