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.
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Answer 1

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

Answer 2

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

$⇒ Length \: of \: an \: arc = \frac{θ}{360°} (2\pi \: r)$

Where, θ is angle subtended at a center.

2πr is circumference of a circle.

$⇒ Length \: of \: an \: arc = \frac{30°}{360°} \times2 \pi \times 4$

$⇒ Length \: of \: an \: arc = \frac{2\pi \times 4}{12}$

$Length \: of \: an \: arc = \frac{2\pi}{3}$

Hope it helps you ✌️

Step-by-step explanation:

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