Question

the area of the circle is 55.44m square. find its radius

Answer 1

area of circle = pi r^{2}
so area of this figure will

55.44=22/7×r^2
55.44×7/22=r^2
2.52×7/2=r^2
r=_/17.64
r= 4.2
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Answer 2

Answer: - The radius of the circle = 4.2 m.

Detailed solution: -

Given: -

The area of the circle = 55.44 m²

We need to find the radius of the circle.

To find the radius of the circle, we simply need to use the area of the circle formula. As the area of the circle is already provided.

So,

The area of the circle formula = πr²

Therefore,

The area of the circle = πr²

55.44 m² = πr²

$55.44m^2=\frac{22}{7} *r^2$

$55.44m^2=\frac{22r^2}{7}$

After cross-multiplication, we will get,

$55.44m^2*7=22r^2\\388.08m^2=22r^2$

Now,

22 will divide 388.08 m², then we will get,

$388.08m^2/22=r^2\\17.64m^2=r^2$

Now,

For the square given on radius, 17.64 will be under root.

Therefore,

$\sqrt{17.64} =r\\4.2m=r$

Therefore,

After removing the root under we get the value of r as 4.2 m

Therefore,

The radius of the circle = 4.2 m

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