Perimeter of a Quarter Circle
The perimeter (P) of a quarter circle consists of:
- The arc length of the quarter circle.
- The two radii that form the straight sides.
As quarter circle is one fourth of a circle, thus its arc length is also one fourth of circumference of circle.
Thus, arc length of quarter circle = 2πr/4 = πr/2
Perimeter of quarter circle = πr/2 + 2r
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