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juin [17]
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]4 years ago
8 0

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!! :)

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In both of the problems, x equals 0 and y equals 1
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A (4,8)  and   b (7,2)   and   let  c (x,y)

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<span>The distance between two points (x₁,y₁),(x₂,y₂) = d
d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }</span>


The ratio of AB : BC = 3:2
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2 * \sqrt{ (7-4)^{2} + (2-8)^{2} } = <span>3* \sqrt{ (x-7)^{2} +(y-2)^{2} }
eliminating the roots by squaring the two side and simplifying the equation
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The point will be (9,-2)  or   (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations
</span>


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