What is a Quarter Circle?
A quarter circle is a geometric shape that represents one-fourth of a full circle. It is formed by dividing a circle into four equal parts.
To visualize a quarter circle, imagine a pizza divided into four equal slices where the tip of each slice is at the center of the circle and the curved edge is part of the circumference. Each slice represents one-fourth of the entire pizza, so we can say that each slice is a quarter circle.
Properties of a Quarter Circle
Some of the common properties of quarter circle are:
- Quater circle represents one of the four quadrants of the full circle.
- Radius of quarter circle is same as the parent circle (circle from which quarter circle is cut out).
- The two straight sides (radii) form a right angle (90°) at the center of quater circle where they meet.
- The perimeter of a quarter circle includes the length of the arc plus the lengths of the two radii.
- Quater circles shows order 4 rotational symmetry.
Area of a Quarter Circle
A quarter circle is one-fourth of a full circle. It resembles a slice of pie, that is divided into four equal parts. It includes a 90° angle and a curved edge, forming a right-angled sector. Calculating the area of a quarter circle is simple and useful in various applications. This article will guide you through the steps to determine the area, making it easy to understand and apply.
Table of Content
- What is a Quarter Circle?
- Properties of a Quarter Circle
- Area of a Quarter Circle Formula
- Derivation of the Formula
- Calculating the Area of a Quarter Circle
- Examples of Area Calculation
- FAQs on Area of a Quarter Circle