Answer:
107 [tex]m^{2}[/tex]
Step-by-step explanation:
First we'll find the radius of the circle.
By Pythagoras, the red line across the rectangle will be
[tex]\sqrt{15^{2} +8^{2}[/tex]
= [tex]\sqrt{225+64}[/tex]
= [tex]\sqrt{289}[/tex]
= [tex]17[/tex]
So the radius will be half the diameter, 8.5 (m)
So the area of the whole circle will be π[tex]r^{2}[/tex]=72.25π
Take away the area of the rectangle (15*8=120)
72.25π - 120
is 107 metres sq. to 3 sf
