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A lunette is a semicircular window that is sometimes placed above a doorway or above a rectangular window. A certain lunette has a diameter of 40 in. To the nearest square inch, what is the area of the lunette?


The area of the lunette is ≈ ____ in2.

A lunette is a semicircular window that is sometimes placed above a doorway or above a rectangular window A certain lunette has a diameter of 40 in To the neare class=

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A lunette is a semi-circle, which means that it is one half of a circle. To find its area, we can find the area of the whole circle and divide it by two.

Area of a circle: A = pi x r^2

r = 40 / 2 = 20

A = pi x 20^2

A = 400pi / 2 = 200pi

200pi = 628.32

The area of the lunette is approximately 628 in^2.

Hope this helps!! :)

The area of the lunette is 628 square in.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

A lunette is a semicircular window.

Diameter of the lunette,d = 40 in.

The radius of the lunette, [tex]r=\frac{d}{2}[/tex]

⇒ [tex]r=\frac{40}{2}[/tex]

⇒ [tex]r=20[/tex] in.

The formula of area of semicircle is

[tex]A=\frac{\pi r^{2} }{2}[/tex]

We know the value of π = 3.14.

On substituting the above values,

⇒ [tex]A=\frac{(3.14)(20)^{2} }{2}[/tex]

⇒ [tex]A=628[/tex]

Hence we can conclude that the area of the lunette is 628 square in.

Learn more about word problems here

brainly.com/question/20594903

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