Question

13. The length of the tangent to a circle is 24cm and the distance from the centre is 25cm
What is the radius of the circle?​

Answer 1

Answer:

25cm

Step-by-step explanation:

Since the Tangent is is passing while touching the circumference of the the circle

and the distance between the centre and the Tangent is 25cm

therefore the Radius of circle is = 25cm

Answer 2

Hi mate here is the answer:--✍️✍️✍️

Let the centre of a circle be O so that AO= 24 cm

Tangent AB whose length is 25 cm.

OB is radius as shown.

Now we know that radius is perpendicular to the point of contact.

Here OB is perpendicular to the AB

Hence angle ABO= 90°

Consider ABO-

By using Pythagoras theorem:

AB^2 + OB^2=AO^2

(25)+OB^2=(24)^2

625+OB^2=576

625-576=OB^2

49=OB^2

OB=7

Hence the length of OB= 7 cm

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