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Answer:

radius = √35 mm or 5.916 mm

Explanation:

  • [tex]\sf area \ of \ circle = \pi r^2[/tex]

Here:

  • area of circle: 110 mm²
  • π taken as 22/7

Solve for radius:

[tex]\rightarrow \sf \pi r^2 = 110[/tex]

[tex]\rightarrow \sf \dfrac{22}{7} r^2 = 110[/tex]

[tex]\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35[/tex]

[tex]\rightarrow \sf r = \sqrt{35}[/tex]

Let's see

  • Area=110
  • πr²=110
  • 22/7r²=110
  • r²≈110(7)/22
  • r²=770/22
  • r=√770/22
  • r=5.9mm
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