SOLUTION: find the equation, in standard form, of the circle being described in each item. 1.diameter with endpoints (3,-5) & (6,4) 2.center (-6,-3), through (-10,3)

Question 1085811: find the equation, in standard form, of the circle being described in each item.
1.diameter with endpoints (3,-5) & (6,4)
2.center (-6,-3), through (-10,3)
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!
Question:
find the equation, in standard form, of the circle being described in each item.

1.diameter with endpoints (3,-5) & (6,4)
2.center (-6,-3), through (-10,3)

Solution:
Standard form of a circle is
(x-x0)^2+(y-y0)^2=r^2

1.
Diameter end points = (3,-5), (6,4)
Centre=((3+6)/2, (-5+4)/2))=(4.5,-0.5)
radius, r = (1/2)sqrt((6-3)^2+(4--5)^2)=(1/2)sqrt(9+81)=(1/2)sqrt(90)=(3/2)sqrt(10),
r²=(3/2)²(sqrt(10)²)=9/4*10=45/2
So standard form:
(x-4.5)²+(y+0.5)²=45/2

2. radius = sqrt((-10--6)²+(3--3)²)=sqrt(16+36)=sqrt(52)
r²=52
standard form:
(x--6)²+(y--3)²=52
=>
(x+6)²+(y+3)²=52
RELATED QUESTIONS
Find the equation, in standard form, of the circle being described in each item. 1.... (answered by ikleyn)

Find the equation, in standard form, of the circle. Diameter with endpoints (-2,-1) and... (answered by josgarithmetic,ikleyn,MathTherapy)

For A and B, find the standard form of the equation of each circle. A. With... (answered by Edwin McCravy)

The points (2, 5) and (4, �1) are endpoints of the diameter of a circle. (a) State... (answered by Fombitz)

Find the center and radius of the circle whose diameter has the given endpoints. Then use (answered by josgarithmetic)

Write the equation in standard form for the circle that has a diameter with endpoints... (answered by josgarithmetic)

The endpoints of the diameter of the circle are (4,5) and (8,7). Find the equation of the (answered by ikleyn)

Write the equation of a circle in standard form if the endpoints of the diameter are... (answered by lwsshak3)

find the equation of the circle (standard form) the circle has a diameter with... (answered by lwsshak3)