Question

if the center And radius of the circle is (3,4)and 7 unit respectively then what is the position of the point A(5,8) with respect to circle

Answer 1

Given:C(3,4) Radius = 7 unitsA(5,8)We will find distance AC. If it is less than the radius, the point is in the circle. If it is ... A (5,8) with respect to the circle. 

Answer 2

Distance of the point, A from centre

= $\bf\huge\sqrt{(5 - 3)^2 + (8 - 4)^2$

= $\bf\huge\sqrt{4 + 16}$

= $\bf\huge\sqrt{20}$

= $\bf\huge 2\sqrt{5}$

2√5 is less than 7.  

∴ The point lies inside the circle