Quarter Circle Perimeter Calculator

Find just the perimeter of a quarter circle.

Perimeter 35.708

Formula: perimeter = ½πr + 2r

Step-by-step with your numbers:

1. Values used:

2. Radius = 10

4. Perimeter = 35.708

Did we solve your problem today?

The perimeter of a quarter circle adds its curved arc to its two straight edges.

The math behind it

perimeter = arc + 2 radii = ½πr + 2r.

Radius 10 → ½π·10 + 20 ≈ 35.71.

Is the arc a quarter of the circumference?

Yes — ½πr is one-fourth of 2πr.