Perimeter of Quarter Circle Calculator

Calculate Perimeter of Quarter Circle



Formula

The formula to calculate the Perimeter of a Quarter Circle is:

\[ P = 2r\left(1 + \frac{\pi}{4}\right) \]

Where:

Definition

The Perimeter of a Quarter Circle is the total length of all the boundary edges of the Quarter Circle.

The Radius of a Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

How to calculate the Perimeter of a Quarter Circle

Let's assume the following value:

Using the formula:

\[ P = 2 \cdot 5 \left(1 + \frac{\pi}{4}\right) \]

Evaluating:

\[ P = 2 \cdot 5 \left(1 + \frac{\pi}{4}\right) \]

The Perimeter of the Quarter Circle is approximately 17.8539816339745 Meter.

Perimeter of Quarter Circle Conversion Chart

Radius of Quarter Circle (Meter) Perimeter of Quarter Circle (Meter)
1 3.570796326794897
1.5 5.356194490192345
2 7.141592653589793
2.5 8.926990816987242
3 10.712388980384690
3.5 12.497787143782137
4 14.283185307179586
4.5 16.068583470577035
5 17.853981633974485
5.5 19.639379797371930
6 21.424777960769379
6.5 23.210176124166829
7 24.995574287564274
7.5 26.780972450961723
8 28.566370614359172
8.5 30.351768777756622
9 32.137166941154071
9.5 33.922565104551516
10 35.707963267948969