A lunette is a semicircular window that is sometimes placed above a doorway or above a rectangular window. A certain lunette has

Question

4 years ago

9

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.

Mathematics

1 answer:

soldier1979 [14.2K] · Answer 1 · 2021-10-29T07:57:23+03:00

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!! :)