Find the area of the shaded region.

Mathematics

1 answer:

sveticcg [70]2 years ago

7 0

Answer:

12.86 sq ft

Step-by-step explanation:

Find area of square and subtract out area of semi-circle; the diameter of the semi-circle equals the side of the square, which is 4 so radius is 2

A(square) = 4 x 4 = 16

A(semi-circle) = πr²/2

= 4π/2 or 2π

Area of Shaded Region = 16-3.14 which is 12.86

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It's obviously none of the above because the true area will have a square root of 3 in it because of the equilateral triangle. They want us to find the approximate area. When I was in school the difference between an approximation and the exact answer was greatly stressed but that seems to be fading of late.

That's a rectangle less an equilateral triangle. The area of an equilateral triangle is $\dfrac{\sqrt{3}}{4} s^2$ which is easily derived but I won't bother here.