from a bangle of radius 3 cm,a piece is to be cut to make a ring of radius 1/2 cm what should be the central angle of the piece to be cut out
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Given
from a bangle of radius 3 cm,a piece is to be cut to make a ring of radius 1/2 cm what should be the central angle of the piece to be cut out
- Given radius of bangle = 3 cm
- Radius of ring = 1/2 cm
- We know that circumference of circle = 2 π r cm
- Length of ring = 2 x π x 1/2
- = π cm
- Therefore length of arc = π cm
- In a circle of radius r,
- Length of arc = x/360 x 2 x π x r cm, given r = 3 cm
- So π = x/360 x 2 x π x 3
- So x = 360 π / 2 x π x 3
- Therefore x = 360 / 6
- So x = 60 degree
Reference link will be
https://brainly.in/question/1341032
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