[ Inscribed and Circumscribed Circles ]

The hypotenuse of a right triangle is 4 m. Find the radius of the circumscribed circle.

#
The center of the circle circumscribed around a right triangle coincides with the midpoint of the hypotenuse.

## Solution

The center of the circle circumscribed around a right triangle coincides with the midpoint of the hypotenuse. Therefore, the radius of the circle is half the hypotenuse, i.e., 2 m.

![](https://cdn.mathpix.com/cropped/2024_05_06_d7c3832c1c4b0d15493ag-24.jpg?height=432&width=489&top_left_y=2402&top_left_x=790)

## Answer

Problem