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The length of a swing is 2.1m if the length of the arch that is made by the swing is 4.4m calculate the angle swept by the swing

Sagot :

Answer:

The angle swept by the swing is 120 degrees

Step-by-step explanation:

Here, we are given the radius of the circle that makes the arc, and the length of the arc

Mathematically, we are to find the central angle

That would be;

The length of an arc is;

theta/360 * 2 * pi * r

theta is the central angle we are looking for and r in this case is 2.1 m

Thus, we have it that;

theta/360 * 2 * 22/7 * 2.1 = 4.4

theta = (360 * 4.4 * 7)/(2 * 22 * 2.1)

theta = 120 degrees

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