Final answer:
To find the missing coordinate of point P in a circle, you can use the distance formula, which is derived from the Pythagorean theorem. By setting up a right triangle with the center of the circle, the given coordinates, and the missing coordinate, you can use the formula to find the missing coordinate.
Step-by-step explanation:
To find the missing coordinate of point P in a circle, you can use the distance formula. The distance formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In the context of a circle, the coordinates of P can be found by setting up a right triangle with the center of the circle as one vertex, the given coordinate as another vertex, and P as the third vertex.
Step 1: Find the coordinates of the center of the circle and the given coordinate.
Step 2: Use the distance formula to find the distance between the center of the circle and the given coordinate.
Step 3: Set up a right triangle with the distance found in step 2 as the hypotenuse.
Step 4: Use the Pythagorean theorem to find the lengths of the other two sides of the right triangle.
Step 5: Use the lengths of the other two sides to find the coordinates of point P.