What is the length of the circle’s radius?a. 25b. 23c. 11.5d. 12.5

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]