Respuesta :

Area of the circle=πr²

25π = πr²
25 = r²
We need only positive root.
√25 = √r

r= 5 inch

The required length of the radius of the circle is 5 inches long.

Given that,
The area enclosed by a circle is 25 pi square inches. what is the length, in inches, of the radius of the circle is to be determined.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,|
The area of the circle is 25π inches²
Area of the circle = πr²
Now,
πr² = 25π
r² = 25
r = √25
r = 5
The radius of the circle is 5 inches long.

Thus, the required length of the radius of the circle is 5 inches long.

Learn more about circle here:

brainly.com/question/11833983

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