Question

find the length of an arc of circle which subtends an angle of 108° at the centre,if radius of the circle is 15 cms

Answer 1

Answer:

The length of arc is 28.275 cm.

Step-by-step explanation:

Given information: subtends angle at the center 108° and radius of the circle is 15 cm.

Formula for length of arc is

$l=r\theta$

where, r is radius of the circle and θ is the subtends angle at the center.

$\theta=108\times \frac{\pi}{180}radian=1.885radian$

The length of acr is

$l=15\times 1.885$

$l=28.275$

Therefore the length of arc is 28.275 cm.

Answer 2

“28.28 cm is the arc length” of the circle as per the given.

To find:

The length of circle’s arc

Solution:

As we known the length of circle’s arc, which subtends an angle of theta degrees at centre =  

$\frac{(\text {Circumference of circle} \times \text {subtended angle})}{360 \text { degree }}$

We know that Circumference of circle $=2 \times \pi \times r$

$=2 \times \pi \times 15 \mathrm{cm}$

$=30 \times \pi \mathrm{cm}$

Hence, the required of the length of the subtended arc ,

$=30 \times \pi \times \frac{108}{360} \mathrm{cm}$

$=30 \times 3.14 \times \frac{108}{360}$

= 28.28 cm

The length of given circle’s arc is 28.28 cm.