Question

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9. The centre O of a circle has the coordinates (4, 5) and
one point on the circumference is (8, 10).Find the
coordinates of the other end of the diameter of the circle
through this point.

Answer 1

Answer:

Let (x, y) be the coordinates of the other end of the diameter of the circle.

Since, centre is the midpoint of the diameter of the circle.

So coordinates of midpoint of diameter

AB = (8 + x/2, 10 + y/2)

But O(4, 5) is the centre hence

8 + x/2 = 4 ⇒ x = 8 – 8 = 0

Also 10 + y/2 = 5 ⇒ y = 10 – 10 = 0

Hence (0, 0) be the coordinates of the other end.

Answer 2

Answer:We have a circle with the known radius r and the circumference 2πr, and we know a point P1 somewhere on it's circumference. Now, we want to get the coordinates [xP2,yP2] of the point P2. We know the arc between P1 and P2 as d=2πrx where x is known and ≥1.

Step-by-step explanation: