Respuesta :

Given:

Given a circle with right triangle with

[tex]\begin{gathered} a=7 \\ b=24 \end{gathered}[/tex]

Required:

To find the length of the circle radius.

Explanation:

From the figure

[tex]\begin{gathered} d^2=7^2+24^2 \\ \\ =49+576 \\ \\ =625 \\ \\ d=\sqrt{625} \\ \\ d=25 \end{gathered}[/tex]

Now the length of radius is

[tex]\begin{gathered} r=\frac{d}{2} \\ \\ r=\frac{25}{2} \\ \\ r=12.5 \end{gathered}[/tex]

Final Answer:

The option d is correct.

[tex]r=12.5[/tex]