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Whitepunk [10]
3 years ago
11

I need help with number 3

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°

The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5

I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°

Sin(30) = s/5
5*Sin(30) = s

12*s = perimeter hexagon
(remember s is half the hexagon side)

12*5*Sin(30) = perimeter hexagon
30 inches  = perimeter

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