Find equation of the circle which passes through the points. (4.6), (0.4), and (6,2)
Answers
Answered by
0
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.
They all lie on the circle with radius
10
.
Step-by-step explanation:
Similar questions