Answer:
(x - 0)² + (y - 9)² = (√87.25)²
Explanation:
equation of circle is (x - a)² + (y - b)² = r², where a and b are centre of the circle and r is the circle's radius.
(x - 0)² + (y - 9)² = r²
x² + (y² - 18y + 81) = r²
x² + y² - 18y + 81 = r²
at the point (7.5, 5):
(7.5)² + (5)² - 18(5) + 81
= 87.25
so r² = 87.25.
in standard form:
(x - 0)² + (y - 9)² = (√87.25)²