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What is the length of arc S shown below?
Enter an exact expression.

What Is The Length Of Arc S Shown Below Enter An Exact Expression class=

Sagot :

Answer:

The length of the arc is 1.6 cm

Step-by-step explanation:

To find the value of the length of the arc, we use the length of arc formula

Mathematically, this is;

theta/360 * 2 * pi * r

where theta is the central angle

In this case pi/4 = 180/4 = 45 degrees

r = 2 cm

So the measure of the length of the arc will be;

L = 45/360 * 2 * 22/7 * 2

= 1/8 * 4 * 22/7

= 22/7 * 1/2 = 11/7 = 1.57 cm which is approximately 1.6 cm

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