Respuesta :

Answer:

[tex]\boxed{\bf\:r = \frac{55 \sqrt{314}}{157} \approx 6.21 \: units}[/tex]

Step-by-step explanation:

Given,

Area of the circle = 121 units²

We know that, the formula of the area of a circle = [tex]\boxed{\pi r ^{2}}[/tex]

Let's use the value of [tex]\pi[/tex] as 3.14.

We need to find the radius (r) of the circle.

[tex]\rule{150}{2}[/tex]

By using this formula,

[tex]\sf\:A = \pi \:r^{2}\\\sf\:121 = 3.14* r^{2}\\\sf\:\frac{121}{3.14}=r^{2} \\\sf\:\frac{12100}{314}=r^{2} \\\sf\:\frac{6050}{157}=r^{2} \\\\\sf\:By \: simplifying \: it \: further,\\\boxed{\bf\:r = \frac{55 \sqrt{314}}{157} \approx 6.21 \: units}[/tex]

[tex]\rule{150}{2}[/tex]

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