Answer:
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Standard form for the equation of a circle is:
- (x − h)² + (y − k)² = r², where the center is (h, k) and the radius is r units
Using the given endpoints of the diameter find the center, which is the midpoint:
- h = 3, as x-coordinate of both endpoints,
- k = 0, as the sum of y-coordinates of endpoints.
The radius is half the distance between endpoints:
- r = (8 - (-8))/2 = 16/2 = 8
Substitute values into equation:
- (x - 3)² + (y - 0)² = 8²
- (x - 3)² + y² = 8²