Question

The length of tangent pq from external point p is 24 cm if the distance of the point p from the centre is 25 cm then the diameter of the circle is

Answer 1

Answer:14cm

Steps:let the centre be o

Tangent (pq ), segment (op) and radius (qo) form a right triangle

Thus by by Pythagoras theorem r^2=25^2+24^2

r=7

Now:

Diameter=2r=14cm

Answer 2

PHTHOGORAS THEORM = $r^{2}$ =  $25^{2}$ + $24^{2}$

RADIUS = 7 cm

DIAMETERA = 14cm