Question

a sprinkler is at the center of a circle of land that it waters. the circle formed by the sprinkler can be represented in the following equation: $(x - 9)^2+(y - 6)^2 = 100$ what is the radius, in meters, of the circle formed by the sprinkler? a. 15 meters b. 100 meters c. 10 meters d. 3 meters

Explanation:

Step1: Recall the standard form of a circle equation

The standard form of a circle equation is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center and \(r\) is the radius.

Step2: Identify \(r^2\) and solve for \(r\)

Given the equation \((x - 9)^2+(y - 6)^2 = 100\), we have \(r^2=100\). Taking the square root of both sides, \(r=\sqrt{100}\).

Answer:

B. 10 meters