What is the length of an arc of a
circle with radius 4 units and angle at
the centre is 35 degrees?
Answers
Answered by
1
Answer:
Here, r=35cm and θ=72
o
[ Given ]
⇒ Length of an arc =
360
o
θ
(2πr)
Where, θ is angle subtended at a center.
2πr is circumference of a circle.
⇒ Length of an arc =
360
o
72
o
×2×
7
22
×35
∴ Length of an arc =44cm
⇒ Area of the sector =
360
o
θ
(πr
2
)
Where, θ is angle subtended at a center.
πr
2
is area of a circle.
⇒ Area of the sector =
360
o
72
o
×
7
22
×(35)
2
∴ Area of the sector =770cm
2
Step-by-step explanation:
Answered by
1
Answer:
arc length=2*pi*r*(thetha)/360
=2*22*4*35/(7*360)=2.44 units
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