Question

9 m

3 m
3 m
What is the area, in square meters, of the shaded region in the diagram?

Answer 1

Notice that the side length of the square is 38 m.

area of square = (side length)2 = (38 m)2 = 1444 m2

Notice that the diameter of the circle is 38 m .

And its radius = diameter / 2 = 38m / 2 = 19 m

area of circle = pi * radius2 = pi * (19m)2 = pi * 361 m2 ≈ 1133.54 m2

So......

area of shaded region = area of square - area of circle

area of shaded region ≈ 1444 m2 - 1133.54 m2

area of shaded region ≈ 310.46 m2

Explanation:

Notice that the side length of the square is 38 m.

area of square = (side length)2 = (38 m)2 = 1444 m2

Notice that the diameter of the circle is 38 m .

And its radius = diameter / 2 = 38m / 2 = 19 m

area of circle = pi * radius2 = pi * (19m)2 = pi * 361 m2 ≈ 1133.54 m2

So......

area of shaded region = area of square - area of circle

area of shaded region ≈ 1444 m2 - 1133.54 m2

area of shaded region ≈ 310.46 m2