The length of a radius of a circle is 28 cm. Determine the circuclar value of angle subtended by an arc of 5.5 cm length at the centre of of this circle.

Explanation

The cicumference of the circle =`2xx(22)/(7)xx28 "cm"=178`cm
`therefore 176 "cm subtends" 360^(@)` at the centre
`therefore 1 " cm subtends" (360^(@))/(176)` at the centre
`therefore "5.5 cm subtends" (360^(@)xx5.5)/(176)` at the centre
`=(180^(@))/(16)xx(pi)/(180^(@) `
`=(pi)/(16)` at the centre
Hence the required circular value `(pi)/(16)`