Question

the radius of a sector is 21 cm and its central angle is 120 find the length
of the arc
​

Answer 1

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Hey mate ✌❤✌

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Given : Radius = 21cm

Theta = 120°

To find : Arc length

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Formula to be used : theta = arc length / radius

• arc length = theta × radius

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arc length = theta × radius

= 120 × 21cm

= 252cm

Note :- I haven't calculated in SI system like i didn't convert degrees into radian and centimetres into metres so don't get confused!

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GIVE 1❤ Get 2❤ ... Give 50❤ get 100❤.... 100% confirm try !!

Answer 2

☆ Solution ☆

Given :-

• The radius of a sector is 21 cm and its central angle is 120.

To Find :-

• The length of the arc.

Step-by-Step-Explaination :-

As we know that :-

Length of the arc = $\frac{\theta}{360} \times 2\pi \: r$

=> L = $\frac{120}{360} \times 2\pi \: ( 21 )$

=> L = $\frac{1}{3}\times 2 \times\frac{22}{7}\times 21$

=> L = $\frac{1}{3}\times 2 \times 22 \times 3$

=> L = $2 \times 22$

=> L = 44 cm

Therefore,

The length of the arc of the circle is 44 cm .