Question

The circle also contains the point B(1.2,11). Find the distance from the center O(-2,5) to B(1.2,11) :

Answer 1

The distance from the center O(-2,5) to B(1.2,11) is approximately 6.8 units.

Step-by-step explanation:

To find the distance from the center O(-2,5) to B(1.2,11), we can use the distance formula in the Cartesian plane. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For this problem, the coordinates of O are (-2,5) and the coordinates of B are (1.2,11). Plugging these values into the distance formula, we get:

d = sqrt((1.2 - (-2))^2 + (11 - 5)^2)

d = sqrt((3.2)^2 + (6)^2)

d = sqrt(10.24 + 36)

d = sqrt(46.24)

d ≈ 6.8

Therefore, the distance from the center O(-2,5) to B(1.2,11) is approximately 6.8 units.