Memory
how to find area of shaded region
Hi Kerwin, I'm studying geometry and I'm having a hard time understanding how to determine the area of the shaded region in a figure. Can you help me with this?
Of course, I'd be glad to help! When it comes to finding the area of a shaded region, the key is to understand the whole shape and its components. You generally have to calculate the area of the larger shape first, then subtract the area of the smaller shape(s) to get the area of the shaded region.
That sounds simple enough. What do I do if the figure is complex, like a circle inside a square?
It's the same principle. You would calculate the area of the square, which is side^2. Then calculate the area of the circle which is πr^2. The area of the shaded region would be the area of the square minus the area of the circle.
And what if the figure is a small circle inside a large one?
Again, the same approach applies. You need to calculate the area of the larger circle first, and then subtract the area of the smaller circle. That will leave you with the area of the ring or shaded region between the two circles.
That clarifies a lot. Thanks, Kerwin!
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