KVPY SA Exam 2011 Question Paper

Question : 7 of 80

Marks: +1, -0

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 (sec Fig. 2). The value of the angle θ is

${10π}/13$
${9π}/13$
${5π}/13$
${6π}/13$

Validate

Solution:

Slant height = 13

θ=S/r

⇒S=rθ

⇒2π(5)=13θ

⇒θ={10π}/13

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