Math & Science ACT Workuot

So, what’s the link?

1. What’s the link? The diagonal of the square is the diameter of the circle.

2. What’s the link? The base of the triangle is the long side of the rectangle, and the height of the

triangle is the short side of the rectangle.

3. What’s the link? The side of the square is equivalent to the radius of the circle.

Let’s try a problem that deals with these concepts.

37. In the square shown below, points E and F are the midpoints of sides AB and CD, respectively. Two semicircles
    are drawn with centers E and F. What is the perimeter, in feet, of the shaded region?