Question

In the given figure, PQRS is a quadrilateral which circumscribes a circle with centre O. 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:

this i the answer i think so

Answer 2

Answer:

3. 9 cm

Step-by-step explanation:

given:

In the given figure, PQRS is a quadrilateral which circumscribes a circle with center O. f 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​

solution:

tangent draw from a external point to a circle is same

so,

     PA = PD = 4CM

     BQ = AQ = 3CM

      RC = RB = 6CM

      SD = SC = 5CM

then,

      PQ = PA + AQ = 4 + 3 = 7cm

       QR = QB + BR = 6 + 3 = 9cm

      SR = RC + SC = 6 + 5 = 11cm

       SP = SD + PD  = 5 + 4 = 9cm

then QR is equal to 9cm