Find the length of an arc of a circle of radius 10 cm which subtends an angle of 45° at the centre
Answers
Answered by
9
Step-by-step explanation:
Given: circle with
r
=
10
c
m
and central angle
θ
=
45
∘
Arc length using degrees
=
θ
360
∘
2
π
r
Arc length
=
45
∘
360
∘
2
π
(
10
)
=
1
8
⋅
20
π
=
5
2
π
cm
≈
7.9
cm
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Answered by
1
Answer:
The length of an arc of a circle of radius 10 cm which subtends an angle of 45° at the centre is 7.86 cm.
Step-by-step explanation:
If s = length of arc .
r = radius
a = angle of arc.
s = r.a
or , s = 10 * (/4).
or , s = 7.86 cm .
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