Question

Segment KL is a diameter of circle Q. Circle Q is represented by the equation (x − 11)2 + (y + 15)2 = 7. What is KL?

A. 98

B. 14

C. 2 root 7

D. root 14

Answer 1

C

Explanation:

Answer 2

`(C)2√(7)`

Explanation:

Given a circle Q represented by the equation:

`(x -11)^2 + (y + 15)^2 = 7.`

Comparing with the standard form of the equation of a circle center (h,k) of radius r:

`(x-h)^2+(y-k)^2=r^2`

We have:

`r^2=7`

We take the square root to obtain the radius, r of the circle.

`r=√(7)`

Since segment KL is a diameter of circle Q; and

Diameter =Radius X 2

Therefore:

`|KL|=2√(7)`