OK. I did it. Now let's see if I can go through it without
getting too complicated.
I think the key to the whole thing is this fact:
A radius drawn perpendicular to a chord bisects the chord.
That tells us several things:
-- OM bisects AB.
'M' is the midpoint of AB.
AM is half of AB.
-- ON bisects AC.
'N' is the midpoint of AC.
AN is half of AC.
-- Since AC is half of AB,
AN is half of AM.
a = b/2
Now look at the right triangle inside the rectangle.
'r' is the hypotenuse, so
a² + b² = r²
But a = b/2, so (b/2)² + b² = r²
(b/2)² = b²/4 b²/4 + b² = r²
Multiply each side by 4: b² + 4b² = 4r²
- - - - - - - - - - -
0 + 5b² = 4r²
Repeat the
original equation: a² + b² = r²
Subtract the last
two equations: -a² + 4b² = 3r²
Add a² to each side: 4b² = a² + 3r² . <=== ! ! !
The surface area of the cylinder will be 1206.37 square feet.
<h3>What is surface area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that the radius of the cylinder is r = 12 ft and the length of the cylinder is 16 ft.
The volume of the cylinder is calculated as:-
V = 2πrl
V = 2 x π x 12 x 16
V = 1206.37 square feet.
Therefore the surface area of the cylinder will be 1206.37 square feet.
To know more about a surface area follow
brainly.com/question/25292087
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Answer
Step-by-step explanation find the roots of the equation by solving for x
