A quarter circle is a geometric shape that represents one-fourth of a full circle. It is formed by taking a circle and dividing it into four equal parts, each part being 90 degrees. The curved edge of the quarter circle is a segment of the circle's circumference, while the two straight edges are the radii that extend from the center of the circle to the endpoints of the arc. In mathematics, quarter circles are often used in various applications, including trigonometry and geometry. They can be found in real-world contexts, such as in the design of architecture and engineering projects, where rounded corners or arcs are needed for aesthetic or functional purposes.