Question

If we draw any line from the centre of the circle to the point of contact of the tangent, then

find the angle between them.​

Answer 1

Answer:

90 degrees

Step-by-step explanation:

according to a theorem a tangent and line drawn form centre forms 90 degree angle

Answer 2

The angle formed between the radius of the circle with the tangent to the circle is 90° .

Given:

A circle has a tangent drawn on it.

The radius of the circle meets the point of contact of the tangent.

To find:

The angle between the radius and the tangent.

Solution:

According to the alternate segment theorem, we know that the angle formed by a chord of a circle is equal to the angle in the alternate segment of the circle.

Now the radius when extended forms a diameter.

We know that the diameter always subtends a 90° at the circumference of a circle.

Therefore the angle in the alternate segment will be equal to the angle formed by the chord(diameter in this case) which is 90 ° .

Therefore the required angle is also 90 ° .

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