Question

draw a flowchart to show the point is the center of circle passing through points

Answer 1

Answer:

We need to check if the distance between the centre and the points on the circle is the same.

Distance between two points (x

1

,y

1

) and (x

2

,y

2

) can be calculated using the formula

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Distance between the points O (3,3) and A (4,0)=

(4−3)

2

+(0−3)

2

=

1+9

=

10

Distance between the points O (3,3) and B (6,2)=

(6−3) 2 +(2−3) 2= 9+1 = 10

Distance between the points O (3,3) and C (4,6)=

(4−3) 2 +(6−3) 2= 1+9=10

Distance between the points O (3,3) and D (0,4)=

(0−3) 2+(4−3) 2= 9+1= 10

Since, length of the sides between the centre and the all the other vertices are equal.