Question

8) Two circles of radil 8 cm and 6 cm intersect at two points and the distance between their centres is 10 cm. Find the length of the common chord.​

Answer 1

Answer:

ans 4cm

Step-by-step explanation:

If circles were just touching

distance between centres = sum of there radius

which = 14 cm

but given that there centres are 10 cm apart

so length of common chord = distance between centres if they were just touching subtracted by given distance

that is equals to 14 - 10 = 4 cm

Answer 2

Answer:

12cm

Step-by-step explanation:

r=8cm R=6cm d=10cm

length of a common chord =?

when measured chord cd=12

circles with center a and b, interest at point c an d

CD is common

perpendicular bisector of CD is ab

ac = 8cm

bc = 6cm

chord cd =2×oc

2×6

chord cd=12cm