Respuesta :
Answer:
Co-ordinate of the center is (3, -4) and radius is 5
Step-by-step explanation:
x2 - 2.3x + 9 + y2 +2.4y +16 = 16 + 9
(x-3)2 + (y+4)2 = 25
Co-ordinate of the center is (3, -4) and radius is 5
The centre of the circle will be at ( 3,-4 ) while the radius will be 5 units.
What is a circle?
A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
We frequently see circular objects in our daily lives, such as the wheel of a bicycle.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given the equation,
x² + y² -6x + 8y = 0
x² - 6x + y² + 8y = 0
(x² -6x +9) - 9 + (y² + 8y + 16) - 16 = 0
(x - 3)² - 9 + (y + 4)² - 16 = 0
(x - 3)² + [ y - (-4) ]² = 5²
Now the equation of a circle with centre ( h, k ) and radius r is given by,
(x - h )² + ( y - k )² = r²
By comparing both
Centre of circle = ( 3 , -4 )
The radius of the circle = 5
So the centre will be at ( 3 , -4 ) and the radius will be 5 units.
To learn more about the circle,
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