Question

By selling a table for 3360 a shopkeeper would gain 12%. If he sold it for 2700 what would be his gain or loss per cent?​ ​

Answer 1

Answer:

let the length of chord be x cm

diameter of circle is 20cm so radius will be 10cm

distance of chord from centre of circle is 6cm

radius of circle act as hypotenuses of triangle ABC (let) and

\frac{x}{2}

2

x

is the base of triangle ABC which is half the length of chord

according to Pythagoras theorem

{10}^{2} = {6 }^{2} + \frac{x}{2}10

2

=6

2

+

2

x

let x/2 be b so

100=36+b2(b square)

64=b2(b square)

b=8

where b=x/2

2b=x

2×8=x

x=16