Radius is identical distance between the center of the circle and the circumference. Thus, the value of radius of the circle is 48 units
A right angled triangle is given that is ABC.
The length of the sides of the triangles are (r+12), (r), and 36 units respectively.
Since, ABC is a right angled triangle.
Therefore, the Pythagorean theorem is applicable to it.
Now, we know that according to the Pythagorean theorem, squared value of the longest side is equal to the addition of the squared value of other two sides.
Hence,
[tex]\begin{aligned}(r+12)^2&=r^2+36^2\\r^2+24r+144&=r^2+1296\\24r&=1152\\r&=48 \end{aligned}[/tex]
Thus, the value of radius of the circle is 48 units.
To know more about the right triangles, please referto the link :
https://brainly.com/question/3770177
