Question

what is the angle subtended at the centre of a circle of radius 5cm by an arc length 4π cm​

Answer 1

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θ = angle subtended at centre (degrees)

$\sf Lengthm of \: Arc = \frac{θ}{360°} \times 2πr cm \\ \\\sf \: arc \: length = \frac{5\pi}{3} cm \\ \\\sf\dashrightarrow \frac{θ}{360°} \times 2π \times 5 =\frac{5\pi}{3} \\ \\ \sf\dashrightarrowθ = \frac{360° \times \pi}{3 \times 2\pi} \\ \\\sf\dashrightarrow\red{\theta \: = 60°}$

Therefore, Angle subtended at centre = 60°

Answer 2

Step-by-step explanation:

Hope it helps... This is the correct answer...