The equation (x + 11)^2 + (y – 27)^2 = 2.25, with units in yards, represents a circular fountain in a park. The park entrance ma
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Find the length of the radius.
Find the length of the diameter.
d = 2r = 2 × 5√2 = 10√2
Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)
The distance from B(x, y) to C(3, 5) is 5√2.
Solve system of equations.
Point B could have coordinates
But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).
Find the length of the diameter.
d = 2r = 2 × 5√2 = 10√2
Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)
The distance from B(x, y) to C(3, 5) is 5√2.
Solve system of equations.
Point B could have coordinates
But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).