In a circle of diameter 42cm,if an arc subtends an angle of 150˚ at the centre ,where ∏=22/7, then what will be the length of arc.
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In a circle of diameter 42cm,if an arc subtends an angle of 150˚ at the centre ,where ∏=22/7, then what will be the length of arc.
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ANSWER
⇒ θ=30
o
and r=4cm
⇒ 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
30
o
×2π×4
⇒ Length of an arc =
12
2π×4
∴ Length of an arc =
3
2π
Question ⤵️
In a circle of diameter 42cm,if an arc subtends an angle of 150˚ at the centre ,where ∏=22/7, then what will be the length of arc.
Answer ⤵️
⇒ θ = 30° and r=4cm
[tex]⇒ Length \: of \: an \: arc = \frac{θ}{360°} (2\pi \: r)[/tex]
Where, θ is angle subtended at a center.
2πr is circumference of a circle.
[tex]⇒ Length \: of \: an \: arc = \frac{30°}{360°} \times2 \pi \times 4[/tex]
[tex]⇒ Length \: of \: an \: arc = \frac{2\pi \times 4}{12} [/tex]
[tex] Length \: of \: an \: arc = \frac{2\pi}{3} [/tex]
Hope it helps you ✌️
Step-by-step explanation:
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