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gregori [183]
4 years ago
8

7

Mathematics
1 answer:
Yuki888 [10]4 years ago
4 0

Answer:

The length of the arc is  S =75 . 4 \ m

Step-by-step explanation:

From the question we are told that

      The angle of the quadrant is \theta =  90 ^o

       The radius of the circle is  r =4 m

    The angle of the arc is mathematically represented as

z =  360 -  90 = 270 ^o

The length of the arc is mathematically represented as

        S = 2 \pi r [\frac{z}{360} ]

substituting values

'       S = 2*(3.142) * 4 [\frac{270}{360} ]

      S =75 . 4 \ m

 

   

   

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