Question

A bird is flying at a speed of 5 km/h in a circular path radius is equal to 700 m find the angle in degrees swept by the bird in 11 minutes

Answer 1

Answer:

Angle swept by bird is 75°.

Step-by-step explanation:

Given:

Speed of the bus = 5 km/hr

Radius of the circular path = 700 m

To find: Angle swept by birth in 11 minutes.

Distance cover by bird in 1 hr = 5 km = 5000 m

Distance cover by bird in 1 min = 5000/60 = 250/3 m

Distance cover by bird in 11 min = 250/3 × 11 = 2750/3 m

Distance covered by bird = length of arc

let the angle swept is $\theta$

$Arc\:length=\frac{\theta}{360}\times2\pi r$

$\frac{2750}{3}=\frac{\theta}{360}\times2\times\frac{22}{7}\times700$

$\frac{2750\times180}{3}=\theta\times22\times100$

$2750\times60=\theta\times2200$

$\theta=\frac{2750\times60}{2200}$

$\theta=\frac{275\times3}{11}$

$\theta=25\times3$

$\theta=75$

Therefore, Angle swept by bird is 75°.