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A piece of paper in the shape of a secto...

A piece of paper in the shape of a sector of a circle (see Fig. 1) is rolled up to form a right- circular cone (see Fig. 2). The value of the angle ` theta` is.

A

`(10 pi)/13`

B

`(9 pi)/13`

C

`(5 pi)/13`

D

`(6 pi)/13`

Text Solution

Verified by Experts

The correct Answer is:
B

Slant height = 13
`theta =S/r`
`rArr S=r theta`
`rArr 2 pi (5)=13 theta`
` rArr theta= (10 pi)/13`.
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