Question

please do this sum step wiseeee urgent ​

Answer 1

Answer:

PQ=8cm

Step-by-step explanation:

1. first as we know OQ=5 cm and this is the radius of circle
2. now, see a triangle is formed i.e ONQ.
3. here we know that OQ=5cm and to find ON i.e ON=AN-AO, and  we know AN=8cm and OA is the radius of the circle, so ON=8-5 i.e ON=3cm
4. now use pythagoras theorem in triangle ONQ.

• $(OQ)^{2} =(ON)^{2} +(NQ)^{2}$
•  $h^{2} =p^{2} +b^{2}$  
• $5^{2} =3^{2} +b^{2}$, after solving this,  
• we get, b=4cm
• as we see that PQ is a chord and N is the mid point of this chord so, PN and NQ is equal
• so, PQ=2*NQ
• PQ=2*4
• PQ=8cm