Question

In the given figure, PQRS is a quadrilateral which circumscribes a árde with centre 0.
If PA = 4 cm, QB = 3 cm, RC = 6 cm and SD = 5 cm, then QR is equal to
1. 7 cm
2.8 cm
3. 9 cm
4. 10 cm
​

Answer 1

Answer:

ABCD is a quadrilateral and let O be the center of the circle inscribed in the quadrilateral.

AB, BC, CD and AD are the tangent to the circle at P, Q, R and S, AP=9, PB=7, QC=5 and DR=6

We know that the lengths of the two tangents from a point to circle are equal.

Thus, AP=AS=9 cm

BP=BQ=7 cm

CQ=CR=5 cm

DR=DS=6 cm

Perimeter of quadrilateral ABCD=AB+BC+CD+AD

=AP+BP+BQ+CQ+CR+DR+DS+AS

=9+7+7+5+5+6+6+9

=54 cm

Answer 2

Step-by-step explanation:

4+3+6+5=19

then 19-6=13

why 6 because this is the mid of the question so we choose this then,

13-3=10

We are choose next of mid

so answer is 10cm