Respuesta :
The sprinkler covers the quarter area of a circle whose radius is 10.5 m.
The area of the quarter of circle is,
[tex]A=\frac{\pi}{4}(r)^2[/tex]Substitute the value of r in the equation to obtain the value area of lawn watered by sprinkler.
[tex]\begin{gathered} A=\frac{\pi}{4}\cdot10.5\cdot10.5 \\ =86.590 \end{gathered}[/tex]So answer of a part is 85.590 meter square.
(b)
The sprinkler water travel a distance of 10.5 m from the sprinkler. So answer of b part is 10.5m.
(c)
The distance of edge araound the water area is equal to the circumferencr of quarter circel.
The formula for the circumference of quarter circle is,
[tex]C=\frac{\pi}{2}r[/tex]Substitute the value of r in the equation to obtain the distance around the edge of watered area.
[tex]\begin{gathered} C=\frac{\pi}{2}\cdot10.5 \\ =16.493 \end{gathered}[/tex]So answer of C part is 16.493 meters.
