a wire of length 18cm is bend in the format a sector of lenght of arc 10cm. find the angel in radian and degree.subtended by the arc at the centre of the circle.also find the area of the sector
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Perimeter of the sector =Arc length
-+2 r = 18
10 +2 r=18
2 r = 8, r = 8/2=4 cm
arc length=l=x/360. x2πr=10
= X/36ox2x3.14x. 4
x = 360x10/2x3.14x4=143,3 degree
I80 degree. π
143.3=80/100 = 4/5
4/5π radian. .Ans
Area of the sector =
x/360. πr 2
143.3/360x3.14x4^2 = 20cm2. Ans
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