> For the complete documentation index, see [llms.txt](https://jaywin.gitbook.io/leetcode/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://jaywin.gitbook.io/leetcode/solutions/1401-circle-and-rectangle-overlapping.md).

# 1401. Circle and Rectangle Overlapping

<https://leetcode.com/problems/circle-and-rectangle-overlapping>

## Description

Given a circle represented as (`radius`, `x_center`, `y_center`) and an axis-aligned rectangle represented as (`x1`, `y1`, `x2`, `y2`), where (`x1`, `y1`) are the coordinates of the bottom-left corner, and (`x2`, `y2`) are the coordinates of the top-right corner of the rectangle.

Return True if the circle and rectangle are overlapped otherwise return False.

In other words, check if there are **any** point (xi, yi) such that belongs to the circle and the rectangle at the same time.

**Example 1:**

![](https://assets.leetcode.com/uploads/2020/02/20/sample_4_1728.png)

```
**Input:** radius = 1, x\_center = 0, y\_center = 0, x1 = 1, y1 = -1, x2 = 3, y2 = 1
**Output:** true
**Explanation:** Circle and rectangle share the point (1,0) 
```

**Example 2:**

![](https://assets.leetcode.com/uploads/2020/02/20/sample_2_1728.png)

```
**Input:** radius = 1, x\_center = 0, y\_center = 0, x1 = -1, y1 = 0, x2 = 0, y2 = 1
**Output:** true
```

**Example 3:**

![](https://assets.leetcode.com/uploads/2020/03/03/sample_6_1728.png)

```
**Input:** radius = 1, x\_center = 1, y\_center = 1, x1 = -3, y1 = -3, x2 = 3, y2 = 3
**Output:** true
```

**Example 4:**

```
**Input:** radius = 1, x\_center = 1, y\_center = 1, x1 = 1, y1 = -3, x2 = 2, y2 = -1
**Output:** false
```

**Constraints:**

* `1 <= radius <= 2000`
* `-10^4 <= x_center, y_center, x1, y1, x2, y2 <= 10^4`
* `x1 < x2`
* `y1 < y2`

## ac

```java
```