Question

if the length of the Belts of parachute is 7 metre and make an angle of 45 degree at the point of joining then length of parachute​

Answer 1

Given:

If the length of the Belts of the parachute is 7 metre and makes an angle of 45 degrees at the point of joining

To find:

The length of parachute​

Solution:

Assuming that the parachute along with its belts form a circular sector where,

Length of the belts = radius of the circle = r = 7 m

Angle at the point of joining of the belts = Central angle = θ = 45°

Length of the parachute = Arc length = "s"

We know the formula of the arc length as:

$\boxed{\bold{s = \frac{\theta }{360\°} \times 2\pi r }}$

On substituting the given values in the formula above, we get

$s = \frac{45\° }{360\°} \times 2\times \frac{22}{7} \times 7$

$\implies s = \frac{1 }{8} \times 2\times 22$

$\implies s = \frac{11 }{2}$

$\implies \bold{s = 5.5\:m}$

Thus, the length of the parachute is 5.5 m.

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