We know that the standard form of a circle is given by the equation:
where the center if the circle is at (h,k) and the radius of circle is: r
1)
on converting to standard form of equation we get:
Hence, the radius of circle is:√3=1.732 units
2)
on converting to standard form of equation we get:
Hence, the radius of circle is:3√2=4.242 units
3)
on converting to standard form of equation we get:
Hence, the radius of circle is:3√5=6.708 units
4)
on dividing both side by 4 we get:
on converting to standard form of equation we get:
Hence, the radius of circle is:=4.796 units
5)
on dividing both side by 5 we get:
on converting to standard form of equation we get:
Hence, the radius of circle is:√5=2.236 units
6)
on dividing both side by 2 we get:
on converting to standard form of equation we get:
Hence, the radius of circle is:√117=10.817 units
7)
on converting to standard form of equation we get:
Hence, the radius of circle is:√46=6.782 units
On arranging the circle in ascending order of their radius is:
1) → 5) → 2) → 4) → 3) → 7) → 6)