0. The radius of a circle is 14 m. Find the angle at the
centre of the circle subtended by an arc of length
(a) 12 m,
giving your answers correct to the nearest degree
Answers
Answered by
0
Answer:
l
≈
5.23
c
m
Step-by-step 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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