Find the length of an arc of a circle which subtends an angle of 60 degrees of radius 3.5cm?
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Step-by-step explanation:
Explanation:
The formula for the length of an arc of a circle is:
l
=
θ
360
o
(
2
π
r
)
Where:
θ
is the angle subtended at the centre.
2
π
r
is the circumference of the circle.
the circumference
2
π
r
=
(
2
)
⋅
(
3.14
)
⋅
(
10
)
=
62.8
c
m
So, length of arc
l
=
θ
360
o
⋅
(
2
π
r
)
l
=
30
360
o
⋅
(
62.8
)
l
=
62.8
12
l
≈
5.23
c
m
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