Question

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

Answer 1

Given:

Given a circle with right triangle with

`\begin{gathered} a=7 \\ b=24 \end{gathered}`

Required:

To find the length of the circle radius.

Step-by-step explanation:

From the figure

`\begin{gathered} d^2=7^2+24^2 \\ \\ =49+576 \\ \\ =625 \\ \\ d=√(625) \\ \\ d=25 \end{gathered}`

Now the length of radius is

`\begin{gathered} r=(d)/(2) \\ \\ r=(25)/(2) \\ \\ r=12.5 \end{gathered}`

Final Answer:

The option d is correct.

`r=12.5`