Question

Find the angle subtended at the centre of a circle of radius 5 cm by an arc of length $(\frac{5\pi}{3})$ cm.

Answer 1

Answer:

The angle subtended by an Arc is 60°.

Step-by-step explanation:

Given :  

Let the angle subtended by an Arc be θ

Length of Arc, l = 5π/3

Radius of circle, r = 5 cm

Length of Arc, l = (θ/360) × 2πr

5π/3  = (θ/360) × 2 ×π × 5

⅓ = (θ/360°) × 2

⅓ = θ/180°

3θ = 180°

θ = 180°/3  

θ = 60°  

angle subtended by an Arc ,θ = 60°  

Hence, the angle subtended by an Arc is 60°.

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Answer 2

hey there ‼️‼️‼️‼️

ur solution is in the attachment ⤴️

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