Question

The two tangents drawn from an external point p to a circle with centre o are perpendicular to each other . If length of each tangent is 6cm, then radius of the circle is .
options
A) 3cm
B) 6cm
C) 9cm
D) 12cm
please correct answer ​

Answer 1

Answer:. .From figure,

CA is perpendicular to AP and CB is perpendicular to BP

Again AC = BC = 4 (radius of the circle)

Also AP = PB = (Tangents from point P)

So, BPAC is a square.

=> AP = PB = BC = CA = 4 cm

So, length of tangents are 4 cm each

therefore option B will be the answer.

Step-by-step explanation: