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The angle of a sector of a circle is 72^...

The angle of a sector of a circle is `72^(@)` and radius of the circle is 10 m. The ratio of the circumference of the circle and the length of the arc of the sector is ________.

A

`5:1`

B

`1:5`

C

`4:1`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
A
`"Length of the arc"=(72^(@))/(360^(@))xx2pir=(2pir)/(5)`
`"Circumference of the circle"=2pir`
`"The required ratio"=2pir:(2pir)/(5)=5:1`
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