Question

A chord is 130 m 12 cm long. Its length in centimetres is ------------
cm.​

Answer 1

Step-by-step explanation:

As per question given details:

a chord 12cm is 8cm distance from the centre of the circle.

Assume that centre of the circle be O and E The mid point of AB. AEO and BEO are both right angled triangle.

i.e AE=

2

12

and EO=8cm, so R the radius of the circle is

[6

2

+8

2

]

=

(36+64)

=

100

=10cm

Now the chord CD is 6cm from O. Let F be the mid point of CD. CFO and DFO are both right angled triangle. FO=6cm and CO=DO=10cm, so

CF=DF

=

[10

2

−6

2

]

=

100−36

=

64

=8cm

So, as per solution

D=2×8=16cm