Esther and Jim plan to + a pond to their property. The area of the pond is 11 square meters.
What is the radius?

remember, a= πr² . Use π = 22/7

A √3
B √7/2
C 3
D 7/2

Respuesta :

The answer is B :))))

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]

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