---
id: 5900f4511000cf542c50ff62
challengeType: 5
title: 'Problem 226: A Scoop of Blancmange'
---
## Description
The blancmange curve is the set of points (x,y) such that 0 ≤ x ≤ 1 and ,where s(x) = the distance from x to the nearest integer.
The area under the blancmange curve is equal to ½, shown in pink in the diagram below.
Let C be the circle with centre (¼,½) and radius ¼, shown in black in the diagram.
What area under the blancmange curve is enclosed by C?Give your answer rounded to eight decimal places in the form 0.abcdefgh
## Instructions
## Tests
```yml
tests:
- text: euler226() should return 0.11316017.
testString: assert.strictEqual(euler226(), 0.11316017);
```
## Challenge Seed
```js
function euler226() {
// Good luck!
return true;
}
euler226();
```