Find radius

Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r

Correct result:

r =  3.75

Solution:

$$\begin{gathered} a^b+b^2=c^2 \\ a=9 \\ {9}^2+r^2=(6+r{)}^2 \\ 12r=45 \\ r=45\mathrm{/}12={\displaystyle \frac{15}{4}}=3.75 \end{gathered}$$

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