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CBSE Class 10 Answered

3. Two supplementary angles are subtended at the centre by two arcs of a circle of radius 7 cm. Find the total length of these arcs

 

Asked by sowmyashreeiyer | 31 Jan, 2022, 11:40: AM
Expert Answer
Length of an arc = theta cross times r
Total space lengths space of space these space two space arcs space equals space straight theta subscript 1 cross times straight pi over 180 cross times straight r space plus space straight theta subscript 2 cross times straight pi over 180 cross times straight r space
equals space open parentheses straight theta subscript 1 plus straight theta subscript 2 close parentheses straight pi over 180 cross times straight r space
equals space 180 cross times straight pi over 180 cross times space 7 space
equals space 7 straight pi space
equals space 22 space cm
Answered by Renu Varma | 31 Jan, 2022, 11:59: AM
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