Question

An arc of length 28 cm subtends an angel of 24 degree at the center of a circle. In the same circle, what angle does an arc of length 35 cm subtend?

Answer 1

Answer:

30⁰

Step-by-step explanation:

Angle subtended = length of the arc/radius of circle

$angle \: subtended = \frac{l}{r}$

l=28cm ,angle=24degree

so,r=28/24

Again, l=35cm

so,angle=l/r=

$angle = \frac{35}{28 \div 24} = \frac{35 \times 24}{28} = {30}^{0}$

So,angle subtended by an arc of length 35cm is 30degree