Respuesta :
Answer:
The correct option is B) [tex]radius= \sqrt{\frac{7}{2}}[/tex]
Step-by-step explanation:
The area of the pond is 11 square meters.
Also,the given area is [tex]a=\pi r^{2}[/tex] where [tex]\pi = \frac{22}{7}[/tex]
Put the value of area and π in provided formula,
[tex]a=\pi r^{2}[/tex]
[tex]11=\frac{22}{7} r^{2}[/tex]
Multiply both the sides by 7,
[tex]7\times 11=7\times \frac{22}{7} r^{2}[/tex]
[tex]77=22\times r^{2}[/tex]
Divide both the sides by 22,
[tex]\frac{77}{22}=r^{2}[/tex]
simplify the above
[tex]\frac{7}{2}=r^{2}[/tex]
Take square root on above expression
[tex]\sqrt{\frac{7}{2}} = r[/tex]
Hence, [tex]r= \sqrt{\frac{7}{2}}[/tex]
Therefore, the correct option is B) [tex]radius= \sqrt{\frac{7}{2}}[/tex]