Math, asked by ankitrajray5397, 3 months ago

if the radius is 21 cm and central angle is 120° then the length of the arc 15 ___​

Answers

Answered by ommprasad3031
3

Answer:

Given ▒▒

In a given circle,

The radius of the sector is 21 cm and its central angle is 120°.

r = 21 cm

θ = 120°

▒▒ To Find ▒▒

The length of the arc of a circle.

▒▒ Solution ▒▒

\boxed{\bf{Length\ of\ the\ arc =\frac{\theta}{360^\circ} \times 2\pi r}}

Length of the arc=

360

θ

×2πr

→ L = 120°/360° × 2π(21)

→ L = 1/3 × 2 × 22/7 × 21

→ L = 1/3 × 2 × 22 × 3

→ L = 2 × 22

→ L = 44 cm

Therefore, the length of the arc of the circle is 44 cm.

Step-by-step explanation:

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