Question

21) From a point A. the length of the tangent to a circle is 15cm and the distance of A from the centre is 17cm
Find the radius of the circle.

Answer 1

Answer:

Radius is 8cm

Step-by-step explanation:

By pythagoras theorem

Answer 2

Answer:

Radius of the circle is 8 cm.

Step-by-step explanation:

Since tangents from the external point to a circle subtends 90°.

By pythagoras theroem,

OA^2 = OB^2 + AB^2

17^2 = OB^2 + 15^2

289 - 225 = OB^2

OB^2 = 64

OB = 8 cm.