Question

In Fig. 10.79, RQ is a tangent to the circle with centre O. If SQ = 6 cm and QR = 4 cm, then OR =
A. 8 cm
B. 3 cm
C. 2.5 cm
D. 5 cm

Answer 1

Answer:(d) 5 cm

Step-by-step explanation:

Given sq= 6

Therefore oq=3 (radius)

In traingle rqo,

Angle q= 90° ( radius perpendicular to tangent)

Therefore by pbt

Ro2 = qr2 + qo2

Ro2= (4)2 + (3)2

Ro2 = 16 + 9

Ro2 = 25

Ro = 5