# Does the point (–2.5, 3.5) lie inside, outside or on the circle x2 + y2 = 25?

The equation of the given circle is x2 +y2 = 25.

x2 +y2 = 25

(x– 0)2 +(y – 0)2 = 52, which is of the form (x – h)2+ (y – k)2 =r2,

Where, h=0, k=0 and r=5.

Distance between point (-2.5, 3.5) and the centre (0,0)

=

=

=

=4.3 (approx.) <5

Since, the distance between point (-2.5, -3.5) and the centre (0, 0) of the circle is less than the radius of the circle, point (-2.5, -3.5) lies inside the circle.

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