Question

if a point P lies in the exterior of a circle with center O and radius 3 cm,then​

Answer 1

Answer:

if a point P lies the exterior of a circle with Centre 0 and radius 3 cm then

Answer 2

Complete question:

If a point P lies in the exterior of a circle with a center O and a radius of 3 cm, then​

(a) OP = 3 cm

(b) OP < 3 cm

(c) OP > 3 cm

(d) OP ≥ 3 cm

If a point P lies in the exterior of a circle with a center O and a radius of 3 cm, then​ OP > 3 cm. (c).

Given,

A circle with a center O and a radius of 3 cm. Point P lies in the exterior of the circle.

To Find,

Condition for OP.

Solution,

We have a point P that lies in the exterior of the circle.

Let the distance of P from the circumference of the circle be x cm.

⇒ OP = Radius + x

⇒ OP = 3 cm + x cm = (3 + x) cm                            ---------------------------------(1)

Here, we can see that (3 + x) cm is always greater than 3 cm.

⇒ (3 + x) cm > 3 cm

from (1),

⇒ OP > 3 cm.

Hence, if a point P lies in the exterior of a circle with a center O and a radius of 3 cm, then​ OP > 3 cm.

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