Question

please help me bro

Q.3:If 0 = 108°and r = 15 cm, then the length of an arc S = ?


a) 9 cm b) 37 cm c) mcm d) 108 cm​

Answer 1

“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 =  

$\frac{circumference \: of \: circle \times subtend \: angle}{360 \: degree}$

We know that Circumference of circle

$= 2 \times \pi \times r$

$= 2 \times \pi \times 15cm$

$= 30 \times \pi \: cm$

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

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

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

= 28.28 cm

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

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