Question

Length of tangent =24cm distance from the center =25cm radius=?

Answer 1

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Length of tangent = 24cm distance from the center = 25cm radius = ?

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Let QP be the tangent, such that, Point of contact is P.

Length of the tangent to a circle = 24cm

PQ = 24cm

Let O be the centre of the circle.

OQ = 25cm

We have to find the radius OP.

Since QP is tangent,

OP perpendicular to QP (Since, Tangent is Perpendicular to Radius at the point of contact).

So, ∠OPQ = 90°

So apply Pythogoras theorem to right triangle, OPQ;

OP² = OQ² - PQ²

OP² = 25² - 24²

OP² = 49cm

OP = √49

OP = 7cm

Radius = 7cm (Answer).

Step-by-step explanation:

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