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sectors of circle. east points, this is due tomorrow help is appreciated

Sectors Of Circle East Points This Is Due Tomorrow Help Is Appreciated class=

Sagot :

The big arc is 2.09 centimeters longer than the small arc.

How much longer is the big arc than the small arc?

For a circle of radius R, if we define an arc with an angle θ, the length of that arc will be:

L = (θ/360°)*2πR

Where π = 3.14

in this case, for both arcs, we have θ = 120°.

For the smaller arc, the radius is R = 5cm, so we get:

L = (120°/360°)*2*3.14*5cm = 10.47 cm

For the larger arc, the radius is R = 5cm, so we get:

L' =  (120°/360°)*2*3.14*6cm = 12.56 cm

Then we can see that:

L' - L = 12.56 cm -  10.47 cm = 2.09 cm

So the largest arc is 2.09 centimeters longer than the smaller arc.

If you want to learn more about arcs:

https://brainly.com/question/2005046

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