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Mathematical connection A lighthouse casts a revolving beam of light as far as the pier

Sagot :

The light's coverage area is given mathematically as i.e. Area=[tex]\pi d^{2}[/tex]

Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.

The revolving beam of light covers the whole space i.e entirely 360°

I.e. it forms a circle-like region

Area of circle = [tex]\pi r^{2}[/tex]{ where r is the radius of circle}

Let's assume the distance traveled by light as "d"

as it forms a circular region, it forms a circle of radius "d"

Mathematical connection i.e. area of the region

area of circular region=[tex]\pi d^{2}[/tex] {where d is the radius of region}

Learn more about area here:

https://brainly.com/question/27683633

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