Question

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

Answer 1

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

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 = $\pi r^{2}${ 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=$\pi d^{2}$ {where d is the radius of region}

Learn more about area here:

brainly.com/question/27683633

#SPJ9