Area of a D Shaped Figure Monday, February 23, 2015 7:14 PM Let's say we want to find the combined area of the
pool and the yard. Notice that the shape is an
elongated D. Part of it is a circle and part of it is a
rectangle. They join together. You could find the area
of the rectangle and since the circle is split in half by
one edge of the rectangle, you could add on half of the
circle's area. To review, you get the area of a rectangle by
multiplying the width times the height. You find the area of a circle with pi r squared. Now, let's go ahead and put it all together and see
what we get with a worked problem. In order to find
the area of a rectangle we will be using length times
width. Since we have half of a circle, we will take 1.2
of pi r squared. Then we are going to add our totals for
the parts and get the whole D shape. Length rimes width .. Our area for the rectangle portion is going to be 30 x
20. Multiply those together and we get 600. To find 1/2
of the circle we will take 1/2 pi r squared … Since we had the diameter of 20, we will take half of
20 which will be ten and square that. 1/2 (3.14)(100) is 157. To find the total D-shape, we will take our 600 + 157. That will be 757 square units. Try It