Question

Need quick Nd crisp answer boys Nd girls!!☺☺

Answer 1

hey !!!

I'm solving this here

Here I'll use the theorem that pair of tangents from the same point to a circle are equal.

So here ,

DS = DR = 5cm

Thus AR = AD - DR

AR = 23 - 5
Thus AR = 18 cm

Again AR = AQ = 18 cm

Thus BQ = AB - AQ
BQ = 29 - 18
Thus BQ = 11 cm

Now the most important step here angle B = 90°
and we know radius is perpendicular to tangents.

Thus all the angles in quadrilateral OPBQ are 90°.

Thus it's a square!!!
Thus all it's sides are equal

This radius = BQ

Thus radius = 11 cm