153k views
5 votes
True or false18. In the circle: x2+(y-2)2=12, the radius is 12

User Maninder
by
8.4k points

1 Answer

6 votes

ANSWER

False

Step-by-step explanation

The equation of a circle is:


(x-x_0)^2+(y-y_0)^2=r^2

Where (x0, y0) is the center of the circle and r is the radius.

If we have the equation of a circle:


x^2+(y-2)^2=12

x0 = 0 and y0 = 2. Therefore the center of the circle is at point (0, 2). Also, we have that:


r^2=12

Solving for r, the radius of this circle is:


r=\sqrt[]{12}

Therefore, it is false that the radius of the given circle is 12.

User Souper
by
8.3k points

Related questions

asked May 4, 2023 67.4k views
Moulde asked May 4, 2023
by Moulde
7.9k points
1 answer
0 votes
67.4k views