Find the lenght of an arc of the cricle which subtends an angle of 180* at the centre , if the radius of the circle is 15cm.
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Step-by-step explanation:
The length of arc is 28.275 cm.
Step-by-step explanation:
Given information: subtends angle at the center 108° and radius of the circle is 15 cm.
Formula for length of arc is
l=r\thetal=rθ
where, r is radius of the circle and θ is the subtends angle at the center.
\theta=108\times \frac{\pi}{180}radian=1.885radianθ=108×180πradian=1.885radian
The length of acr is
l=15\times 1.885l=15×1.885
l=28.275l=28.275
Therefore the length of arc is 28.275 cm.
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