Answer:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
- (a, b) is the center
- r is the radius
Question 53
Given equation: [tex](x-3)^2+(y+4)^2=16[/tex]
Comparing this with the general equation of a circle:
⇒ center = (3, -4)
⇒ radius = √16 = 4
Question 54
Given equation: [tex](x+2)^2+y^2=50[/tex]
Comparing this with the general equation of a circle:
⇒ center = (-2, 0)
⇒ radius = √50 = 5√2 = 7.1 (1 dp)
To graph the circles:
- Plot the center point.
- Set your compass to the width of the radius.
- Place the sharp point on the center point and draw the circle.
(Graphs attached)
