Respuesta :

Answer:

answer is 2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

because 7 isn't squared that means the radius is [tex]\sqrt{7}[/tex] thus the diameter is twice that or 2[tex]\sqrt{7}[/tex]

The measure of the KL is 2√7 units if the radius of the circle is √7 after comparing the circle equation with the standard equation.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle equation given:

(x − 11)² + (y + 15)² = 7

As we know, the standard form of a circle is given by:

(x − h)² + (y - k)² = r²

Here,

(h, k) is the center of the circle

r is the radius of the circle.

On comparing:

h = 11

k = -15

r² = 7

r = √7

The segment KL is the diameter of the circle

We know that:

KL = 2(radius)

KL = 2r

KL = 2(√7)

Kl = 2√7 units

Thus, the measure of the KL is 2√7 units if the radius of the circle is √7 after comparing the circle equation with the standard equation.

Learn more about circle here:

brainly.com/question/11833983

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