Area of Sector – Formulas and Solved Examples

Area of Sector – Formulas and Solved Examples

What is a Sector?

A sector is a subdivision of a financial market, typically corresponding to a specific type of security. In the United States, sectors are typically designated by letters of the alphabet, with the first letter representing the broadest category and the following letters representing narrower categories. For example, the “S&P 500” is a sector that includes the 500 largest publicly traded companies in the United States.

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Find the Sector in the Circle

The sector in the circle is the region of the circle that is cut off by two intersecting lines.

Easy Formulas to Calculate Area of a Sector of a Circle

To calculate the sector area of a circle, use the following formulas:

Sector Area = \frac{πr^2}{360}

Sector Area = \frac{πd^2}{4}

Where:

π = 3.14159

r = radius of the circle

d = diameter of the circle

Solved Example

A company has decided to produce a new product. The estimated fixed costs for this product are $240,000. The estimated variable costs are$5 per unit. The company expects to sell 10,000 units of the product.

What is the estimated total cost for producing 10,000 units of the product?

The estimated total cost for producing 10,000 units of the product is \$50,000.

Area of Sector Using Degrees

The area of sector A is 120°.

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