Question

In a circle with center P and radius 10cm. If one of the chord is of length 12 cm.

Then find the distance of the chord from the center.​

Answer 1

Look at the attachment

The line bisects the cord which we have to find

• Length of chord=12cm
• Half of the cord=12/2=6cm
• Radius=10cm

Its a right angle triangle

• using Pythagorean theorem

`\boxed{\sf P^2=H^2-B^2}`

`\\ \Large\sf\longmapsto P=√(H^2-B^2)`

`\\ \Large\sf\longmapsto P=√(10^2-6^2)`

`\\ \Large\sf\longmapsto P=√(100-36)`

`\\ \Large\sf\longmapsto P=√(64)`

`\\ \Large\sf\longmapsto P=8cm`

Distance of the chord from centre is 8cm.