Math

Quarter Circle Calculator

Find the area and perimeter of a quarter circle.

Calculated Output

Area 28.274

Perimeter 21.425

Arc length 9.425

Formula: area = ¼πr²; perimeter = ½πr + 2r

Step-by-Step Breakdown

1. Values used:

2. Radius = 6

4. Area = 28.274

5. Perimeter = 21.425

6. Arc length = 9.425

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The math behind it

Area is a quarter of πr². The perimeter is the curved arc (½πr) plus the two straight radii (2r).

Radius 6 → area ≈ 28.27, perimeter ≈ 21.42.

Why add 2r to the perimeter?

A quarter circle is bounded by the arc and the two radii forming the corner.