30 lines
961 B
Markdown
30 lines
961 B
Markdown
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---
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title: Area of a Sector
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---
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## Area of a Sector
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A sector is the portion of a circle enclosed by two radii and one arc, where the smaller area is known as the Minor and the larger area is known as the Major sector.
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Minor sector shaded in green.
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*L* is the arc length.
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*θ* is the angle in radians.
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*r* is the radius.
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**The Area of a sector can be obtained by multiplying the circle's area by the ratio of the angle *(θ°)* and *2π (360°)* as follows**:
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A = *πr<sup>2</sup> * (θ°/360)*
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### Example:
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A circle has a radius of 5 cm. Calculate the area of a sector when the angle made by the radii is 60°. As an approximation for pi, we will use 22/7.
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A = *(22/7) * 5<sup>2</sup> * (60°/360°)*
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A = **13.095 cm<sup>2</sup>**
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#### More Information:
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- [Circular Sector](https://en.wikipedia.org/wiki/Circular_sector)
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