Question

AB and CD are two parallel chords of a circle such
that AB = 10 cm and CD = 24 cm. If the chordsare
on the opposite sides of the centre and the distance
between them is 17 cm, the radius of the circle is

Answer 1

Step-by-step explanation:

2

=x

2

+(5)

2

also, r

2

=(17−x)

2

+(12)

2

So, x

2

+(5)

2

=(17−x)

2

+(12)

2

x

2

+25=(17−x)

2

+144

⇒x=12

∴r

2

=144+25=169

⇒r=13cm