Question 1184190
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Please help me to solve this
A water sprinkler sprays water over a distance of 30ft. while rotating through an angle of 135 degrees. What area of lawn receives water?
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<pre>
Take the total area of the circle of the radius of 30 ft


    A = {{{pi*r^2}}} = {{{3.14*30^2}}}  square feet.


and MULTIPLY it by the factor  {{{135/360}}}  to account for the circle'  SECTOR area.


So, your final formula and the numerical  <U>ANSWER</U>  are


    the area which receives water = {{{3.14*30^2*(135/360)}}} = {{{3.14*30^2*(3/8)}}} = 1059.75 square feet  (rounded). 
</pre>

Solved.


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Notice that only  &nbsp;&nbsp;{{{3/8}}}  &nbsp;&nbsp;of the circle area receives water.