Question

7

Answer 1

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

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

      $S =75 . 4 \ m$