In a circle of radius 4cm an arc substense an angle of 60 degree find length of arc please please answer this question
Answers
Answer:
A circle has 360 degrees. An arc is the portion of the circumference of a circle in x degrees of the circle.
Where here x=60 degree (given)
so, there is a formula to find the arc length:
(length of the arc / Circumference) = (Central angle / 360)
where, Central angle = x = 60
and circumference of circle = 2*pi*r = 2 * 3.14 * 4 [i.e pi=3.14 , r=4 (given)]
so, Length of the arc = (60 / 360) * (Circumference)
= (60 / 360) * (2 * 3.14 * 4)
= 4.1887 cm
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{ NOTE: There is another formula if he asked to find " Area of the Sector" then:
(Area of the Sector / Area of circle) = (Central angle / 360) }
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