Question

Evaluate
$(2-\frac{7}{2}{)}^2+(3+\frac{5}{2}{)}^2=r^2$.

Answer 1

${(2-\frac{7}{2})}^2+{(3+\frac{5}{2})}^2=r^2$

${\left(\frac{4-7}{2}\right)}^2+{\left(\frac{6+5}{2}\right)}^2=r^2$

${\left(\frac{-3}{2}\right)}^2+{\left(\frac{11}{2}\right)}^2=r^2$

$\left(\frac{9}{4}\right)+\left(\frac{121}{4}\right)=r^2$

$\frac{9+121}{4}=r^2$

$\frac{130}{4}=r^2$

$\frac{65}{2}=r^2$

$r=\sqrt{\frac{65}{2}}$