Imagine cutting this shape into two semi-circles and one rectangle.
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- Each semi-circle has a diameter of 36 meters
- The radius would be (36/2) = 18 meters.
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We know the area of a whole circle which is π[tex]r^{2}[/tex]
- The formula of area of a semi-circle: 1/2(π[tex]r^{2}[/tex])
because a semi-circle is basically half of the whole circle!
However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.
for reference:
1/2(π[tex]r^{2}[/tex]) + 1/2(π[tex]r^{2}[/tex]) = 2/2(π[tex]r^{2}[/tex]) = π[tex]r^{2}[/tex]
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First, the area of rectangle: length times width = 84 x 36 = 3024 square meters
Anyways, since we have to sub in 3.14 for π
Area of a whole circle: (3.14 x [tex]r^{2}[/tex]) = (3.14 x [tex]18^{2}[/tex]) = 1017.36 square meters
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3024 + 1017.36 = 4041.36 square meters
ANSWER: J
