(x - 132) 2 - (y - 132) 2 = 24, 649
The circle intersects the y-axis at points A and B as shown.
The point A has a greater y-value than B.
The line AC is a diameter.
M and N are points on the circle such that the angles:
< ACM = < ACN = p /4 radians.
What are the Cartesian coordinates of M and N?
Hint: You may need to apply the inscribed angle theorem which states:
An inscribed angle is equal to one half the central angle that intercepts the same arc.
You may also need to do a circle reconstruction to incorporate the points M and N in relation to each other and their lines to the diameter.
No comments:
Post a Comment