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CBSE Class 10 Answered

Two sectors of the same circle have central angles x and 2x, then the ratio of their perimeter is
Asked by Trisha Gupta | 06 Oct, 2021, 21:24: PM
answered-by-expert Expert Answer
Perimeter space equals space 2 cross times radius space plus length space of space arc fraction numerator 2 straight r plus begin display style straight x over 360 end style cross times 2 πr over denominator 2 straight r plus fraction numerator 2 straight x over denominator 360 end fraction cross times 2 πr end fraction equals fraction numerator 2 straight r open parentheses 1 plus straight x over 360 cross times straight pi close parentheses over denominator 2 straight r open parentheses 1 plus fraction numerator 2 straight x over denominator 360 end fraction cross times straight pi close parentheses end fraction equals fraction numerator 1 plus straight x over 360 cross times straight pi over denominator 1 plus fraction numerator 2 straight x over denominator 360 end fraction cross times straight pi end fraction equals fraction numerator 360 plus πx over denominator 360 plus 2 πx end fraction
Answered by Arun | 07 Oct, 2021, 11:09: AM

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