Question

Find the radius of the circle. Round to the nearest tenth.V w2020U4x - 5x + 4XThe radius of the circle isSubmit Answer

Answer 1

`r=10.4`

Explanation:

We can find the radius of the circle using the Pythagorean theorem, let's see the following diagram to understand:

Since the triangles show above has to be congruent, it means we can equalize the expressions (4x-5) and (x+4) to find x:

`\begin{gathered} 4x-5=x+4 \\ 4x-x=4+5 \\ 3x=9 \\ x=(9)/(3) \\ x=3 \end{gathered}`

Now, use the Pythagorean theorem to find the radius:

`\begin{gathered} r^2=3^2+10^2 \\ r=\sqrt[]{9+100} \\ r=\sqrt[]{109} \\ r=10.4 \end{gathered}`