The length of the radius of circle is 5 cm and length of its chord AB is 8 cm . Calculate the distance of the chord AB form the centre O.

Explanation

Let `OC bot AB`
`therefore` distance of chord AB form O= OC
`therefore ` C is the mid-point of AB.
`therefore AC = (1)/(2) AB = (1)/(2) xx 8 cm = 4 cm`
Now in the right - angle triangle OAC .
`OA^(2) = OC^(2) +AC^(2)`
or `(5)^(2) = OC^(2) + (4)^(2) or , 25 = OC^(2) + 16 or , OC = 3`
`therefore ` the required distacne of AB form the centre O = 3 .