find the central angle of each of the section whose measures are given below length of the arc = 44cm R= 35cm
Answers
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
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