The wire of the length 121 cm is bent as to lie along the arc a circle of radius 180 cm. Find the degree, the angle subtended at the centre of arc.
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Arc-length can be given by the formula : Ф / 360° × 2πr
Hence it is given that 121 cm is the arclength.
=> 121 = Ф / 360° × 2πr
= 121 =Ф / 360° × 2 * 22 / 7 * 180
= 121 = Ф / 360° × 360 * 22 / 7
= 121 = Ф * 22 / 7
=> Ф = 121 * 7 / 22
= 38.5°
Hence the angle subtended at the middle is 38.5
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