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
Length of an arc = ![theta cross times r](https://images.topperlearning.com/topper/tinymce/cache/73065c76e67d663f253378b71ba50110.png)
![theta cross times r](https://images.topperlearning.com/topper/tinymce/cache/73065c76e67d663f253378b71ba50110.png)
![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](https://images.topperlearning.com/topper/tinymce/cache/128801e92f531dcaa02b380742087752.png)
Answered by Renu Varma | 31 Jan, 2022, 11:59: AM
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