Question

The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).the center of the circle is at the point , and its radius is units. the equation of this circle in standard form is .

Answer 1

Answer:

The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

The center of the circle is at the point  ( ? ), and its radius is (2.5) units. The equation of this circle in standard form is (x - 4)^2 + (y - 8)^2 = 6.25

i just did this and the last two were correct im not 100% sure the first one sorry

Step-by-step explanation:

Answer 2

 The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
 C =$(\frac{4+4}{2}, \frac{5.5+10.5}{2})$
 C = ( 4, 8 ),  h=4, k=8
 r =$\sqrt{(4-4)^{2} +(8-5.5)^{2} } = \sqrt{0+2.5^{2} }$
 r = 2.5
 The equation of the circle in standard form:
 ( x - h )² + ( y - k )² = r²
 ( x - 4 )² + ( y - 8 ) = 6.25