Question

In the given figure, RQ is a tangent to the circle with centre O. If SQ = 6 cm and QR = 4 cm, then OR is equal to ______.

Options

• 2.5 cm

• 3 cm

• 5 cm

• 8 cm

Answer 1

In the given figure, RQ is a tangent to the circle with centre O. If SQ = 6 cm and QR = 4 cm, then OR is equal to 5 cm.

Explanation:

SQ is a diameter so radius `OQ = (SQ)/2 = 3  cm`. 

RQ is tangent, so OQ ⟂ RQ.

In right triangle OQR,

OR² = OQ² + QR² 

= 3² + 4²

= 9 + 16

= 25

Hence OR = 5 cm.