Question

Pair of tangents to be drawn from an external point which is ata distance of 5cm from the circle of

radius 4cm.Then the distance from the centre of the circle to the external point is​

Answer 1

Answer:

9 cm

Step-by-step explanation:

circle radius is given = 4cm

external line is given = 5cm

so,

4 cm + 5 cm

= 9 cm

Hope this helps(•‿•)

Answer 2

Given :- Pair of tangents to be drawn from an external point which is at a distance of 5cm from the circle of

radius 4cm. Then the distance from the centre of the circle to the external point is ?

Solution :-

we know that, tangents make 90° angle at centre with radius .

so, using pythagoras theorem we get,

→ (Distance from the centre of the circle to the external point)² = (radius)² + (distance of external point from circle)²

→ D² = 4² + 5²

→ D = √(16 + 25)

→ D = √41 cm (Ans.)

Hence, the distance from the centre of the circle to the external point is √41 cm .

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