A circle with centre O has a radius of $3.5$ cm. If the distance between O and point P is $5$ cm, where does P lie with respect to the circle?

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Solution

The distnce OP $= 5$ cm, which is more than the radius of the circle which is $3.5$ cm. Thus, the point P lies on the exterior of the circle.

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Question 3
State whether the following is true or false.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
[Thinking process
Let r = radius of circle and d = distance of a point from the centre.
1. If r = d, then point lie on the circle i.e only one tangent is possible
2. If r < d, then point lie outside the circle. i.e a pair of tangent is possible.
3. If r>d, then point lie inside the circle i.e no tangent is possible.
]

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A circle with centre O has a radius of 3.5 cm. If the distance between O and point P is 5 cm, where does P lie with respect to the circle?

The distnce OP =5 cm, which is more than the radius of the circle which is 3.5 cm. Thus, the point P lies on the exterior of the circle.

A circle with centre O has a radius of $3.5$ cm. If the distance between O and point P is $5$ cm, where does P lie with respect to the circle?

The distnce OP $= 5$ cm, which is more than the radius of the circle which is $3.5$ cm. Thus, the point P lies on the exterior of the circle.