the circumference of a circle is 36cm.if an arc makes an angle 30⁰at the centre.then,find the length of the arc?
please answer this question, it's very urgent.
Answers
Answered by
1
Answer:
L = r θ (Θ in radians)
θ = 30⁰ = π/6
circumference c = πd = 36 cm
therefore d = 36/π
=> 36*7/22
=> 252/22
=> 128/11 cm
r = d/2 = 128/22 = 64/11 cm
therefore L = 64/11 × π/6
=> 64/11 × 22/42
=> 3.05 cm
Answered by
1
Answer: length of arc = 3 cm
Step-by-step explanation:
Circumference of circle = 2πr
2πr = 36 cm
So, radius comes out to be, r = 18/π cm
Arc makes an angle of π/6 = 30° at the centre of the circle.
And we also got formula of arc, I.e.
θ = L/r _____(I)
Where θ = angle made by arc at the centre.
L = length of arc & r = radius.
So, from (I)
L = θ(r)
L = π/6(18/π)
L = 18/6
Hence, length of arc, L = 3 cm
Thanks!
I hope it will be helpful.
Good LucK!
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