# Payton colored a composite shape made up semicircles whose diameters are the sides of a square. The result is a shape given below. Find the area of the shaded region (Petals) in terms of x? Calculate the area using the dimension in 2nd figure?

##### 1 Answer

Jul 29, 2016

Area

#### Explanation:

The area of half a petal is given by

See the attached figure:

in light blue is represented the circle's quarter

in yellow is represented the triangle's area

in red is represented the difference

(Note: the halfed petal is rotated

so the four petals have an area of

Area