Question

O is the centre of a circle of radius 8cm. The tangent ata point A on the circle cuts a line through O at B such that AB = 15cm. Find OB.​

Answer 1

SOLUTION:-

Given:

•O is the centre of a circle of radius 8cm.

•The tangent at a point A on the circle cuts a line through O at B such that AB=15cm.

To find:

OB=?

Explanation:

Using Pythagoras Theorem:

(Hypotenuse)²=(base)²+(perpendicular)²

Therefore,

=) OB² = OA² +AB²

=) OB² = 8² + 15²

=) OB² = 64 + 225

=) OB² = 289

=) OB= √289

°•°OB= 17cm

Thus,

OB is 17cm.

Thank you.