Harof and Lynn pulled the thin rope taut together, one end pressed under the ice column, while the other end overlapped with the shadow.
When the magical clock struck exactly twelve o'clock, Harof used his hand like a blade and precisely cut the remaining rope!
"Ruler, hurry, pass the ruler!" Harof shouted excitedly, so hurried in his descent that he forgot the most crucial tool.
Elok, with quick reflexes, imdiately ran back to the airship and handed the ruler to Harof within ten seconds.
The legendary wizard took the ruler with great solemnity, as if on a pilgrimage, and began to asure the length in segnts.
"Harof, what's the length of the shadow?" several accompanying wizards asked with great anticipation.
Harof didn't answer imdiately but asured multiple tis before speaking cautiously. "It's 1,051 centiters, or 10.51 ters!"
With the data in hand, everyone quickly took out pen and paper to calculate. The wizards, who hadn't formally studied advanced mathematics, still knew basic geotry.
However, this value wasn't a whole number. With decimals, squaring and taking the square root doubled the calculation complexity. It took over five minutes for them to calculate that the length of the hypotenuse was approximately 100.55 ters.
After over two months of mathematical training, Lydia and Elok were clearly quicker than the rest. They had already started calculating the angles of the triangle, using trigonotric formulas to determine the sine of the opposite side over the hypotenuse.
"I've calculated it! The angle is six degrees!" Lydia, the first to calculate it, waved her arms vigorously and shouted loudly.
Harof, who didn't have pen and paper, also arrived at the answer through ntal calculation at the sa ti. Lydia's calculation was correct; the triangle's apex angle and the corresponding angle on the Earth were indeed six degrees!
The rest was straightforward. A circle had 360 degrees, so the Earth's angle ant dividing the entire circle into sixty equal parts, each being 720 kiloters. So, the total length was...
"43,200 kiloters!" Harof's voice trembled, and he repeated the calculation several tis in his mind, afraid of making a mistake. After confirming it was correct, he said, almost in a dream, "43,200 kiloters! This is the circumference of our planet!"
Lynn, of course, was the fastest to calculate. After receiving the shadow length data from the AI in his brain, he instantly had the answer.
It seed that this alien planet was slightly larger than Earth in his previous life.
If he rembered correctly, Earth's circumference was around 40,075 kiloters, and the two values were quite close.
The other wizards quickly calculated the sa value, and they were all thrilled. Once they knew the circumference, calculating the diater, radius, and surface area was only a matter of ti.
On the side, Rorl didn't participate in the calculations. Instead, he created another new painting, titled "People asuring the Planet's Circumference Under the Blazing Sun and Ice." His ink-dipped quill danced rapidly on parchnt.
Harof, using the ruler to asure the rope's length, Lynn estimating the central angle, Lydia jumping with excitent, and the wizards in the background deep in thought all vividly appeared on paper. Against the backdrop of the harsh sun and floating ice islands, the scene was bizarre yet harmonious, forming a striking and beautiful picture.
After pouring his inspiration onto the canvas, Rorl looked at the two paintings in his hand and felt that his life was now complete. He was well aware that these two pieces would be rembered by people for generations to co during this historic mont.
However, after composing himself, Rorl didn't forget about another crucial matter, as so people couldn't wait any longer.
Thinking of this, Rorl turned to Harof and asked, "Harof, should we send this ssage to Greenriel now?"
Harof, who was calculating the planet's surface area, didn't have ti to respond but simply nodded. "Now that we've confird it, send it!"
anwhile, in the city of Greenriel, a dozen alchemists were anxiously waiting by the communication alchemical array, hoping for news from the other side.
But it was already 12:37, and they hadn't received any ssages, making Raphael and the others begin to doubt if the operation had failed. Could it be that Lynn's assumption was incorrect, and this continent wasn't spherical after all?
"Look, there's movent!" A sharp-eyed alchemist was the first to notice the alchemical array glowing. Everyone rushed over.
Since the distance was over 700 kiloters, the amount of mana required for transmission was a staggering number, so Rorl had only sent the two most crucial pieces of data: the shadow length and the apex angle.
"The shadow length is 10.51 ters, and the apex angle is 6 degrees..." Raphael, watching the data ford by magical energy inside the alchemical array, shouted excitedly.
Thanks to a sound-amplifying spell, this ssage quickly spread throughout Greenriel City. The entire city of wizards seed to be in a frenzy as countless mages, who had eagerly anticipated this mont, took out parchnt and quills to start their calculations. Even so educated civilians joined in.
Calculating the data with just the shadow length required a solid understanding of trigonotric functions, which was enough to baffle most wizards. However, once they had the apex angle, it beca basic multiplication and division, sothing even so commoners could handle.
"The planet's circumference is 43,200 kiloters, the diater is approximately 17,751 kiloters, and the surface area is 594 million square kiloters?" On the crowded streets of Greenriel City, Yal observed the just-calculated data, murmuring to himself.
He wasn't a wizard, or perhaps he lacked the aptitude, and never had the chance to beco a wizard's apprentice. But, driven by a deep interest in mathematics, he had once thought that his math skills would only be useful for everyday transactions and, at best, make him a tax collector. However, the last issue of the "Magic Daily" had opened a new world for him.
A wizard nad Lynn, who had co from beyond the Misty Sea, was planning to asure the circumference of their planet using just a few simple mathematical formulas, without the need for any magic!
Yal had doubted whether it could be that simple, but when these values were revealed on paper, all his doubts vanished. The overwhelming shock he felt couldn't be quenched, as if the world was unfolding beneath his pen!
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