The ant repeats the two steps 7 times going around the polygon until it reaches its starting position. The ant makes one complete revolution (360) to draw this 7 sided polygon. The value of A, correct to one decimal places.
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The answer rounded to one decimal place is 81.80.
The ant makes one complete revolution (360 degrees) while drawing the 7-sided polygon.
This means that each of the 7 sides of the polygon subtends an angle of 360/7 = 51.43 degrees at the center of the polygon.
Let the length of each side of the polygon be "s".
The area "A" of the 7-sided polygon can be found using the formula:
A = (7/2) s² sin(360/14)
where 360/14 is half of the central angle subtended by each side.
The answer rounded to one decimal place is
A = (7/2) s² ₓ sin(51.43/2)
= (7/2) s² ₓ sin(25.71)
= approx 81.80.
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