---
id: 5900f4511000cf542c50ff62
title: 'Problem 226: A Scoop of Blancmange'
challengeType: 5
forumTopicId: 301869
dashedName: 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

# --hints--

`euler226()` should return 0.11316017.

```js
assert.strictEqual(euler226(), 0.11316017);
```

# --seed--

## --seed-contents--

```js
function euler226() {

  return true;
}

euler226();
```

# --solutions--

```js
// solution required
```