Properties of Quarter Circle
A quarter circle is a two-dimensional geometric shape consisting of one-fourth of a complete circle, with properties including:
- A quarter circle subtends a right angle (90 degrees) at its center.
- The length of the arc of a quarter circle is equal to one-fourth of the circumference of the full circle from which it is derived.
- A quarter circle has rotational symmetry of order four. This means that it looks the same after a rotation of 90, 180, or 270 degrees about its center.
- A quarter circle divides the coordinate plane into four quadrants. It lies entirely in the first quadrant if the center of the circle is at the origin.
- The perimeter of a quarter circle includes the length of the arc plus the lengths of the two radii.
Quarter Circle
Quarter circle is an element of a circular shape that occupies one-fourth of the circle’s perimeter edge and has the same ratio in terms of the area, forming a right angle with the adjacent plane.
This article provides a background on the quarter circle by discussing its formulas and properties as well as real-life uses and gives examples about calculating the area and perimeter of the figure, and problems to solve for practice.
Table of Content
- What Is a Quarter Circle?
- Formulas Related to Quarter Circle
- Properties of Quarter Circle
- Applications of Quarter Circle