Question

Find the length of an arc of a circle with radius 18 cm if the arc subtends a central angle of 30°.

Answer 1

Answer: 9.42 cm.

Step-by-step explanation:

Length of arc is given by :-

$l= \dfrac{x}{360}\times2\pi r$ , where r= radius and x= central angle subtended by arc.

As per given , we have

$x=30^{\circ}\\\\ r=18\ cm$

Then, the length of arc will be :

$l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm$

Hence, the length of arc is 9.42 cm.

Answer 2

The length of an arc of a circle with radius 18cm is; L = 9.426cm

Length of an arc

The length of an arc can be evaluated using the formula;

• L = (∆/360) × 2πr

Hence, the length of the given arc is;

• L = (30/360) × 2 × 3.142 × 18cm

• L = 9.426cm

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