Question

In a circle of radius 13 cm, PQ and RS are two parallel chords at a distance of 5 cm and 12 cm from the centre. Calculate the distance between the chords if they are i) On the same side of the centre ii) On the opposite sides of the centre​

Answer 1

Answer:

17

Step-by-step explanation:

Let O be the center and AB be one chord and CD be another chord

Let P and Q are the mid point of AB and CD respectively.

OP=132−52−−−−−−−√=12cm  

OQ=132−122−−−−−−−−√=5cm  

Distance between the chords=OP+OQ=12+5=17 cm

Answer 2

Answer:

same side of centre :. 12- 5 = 7