Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
<h3>What is the Length of an Arc?</h3>
Using the formula for arc length, it is possible to determine the length of an arc that contains a circle by providing the radius and the central angle.
AL = ∅/360 × 2πr
Considering that the new area is a quarter circle in shape, then ∅ = 90°.
Raidus (r) = 70 ft
The distance between the point of departure to the place of departure again= arc length.
Al = ∅/360 × 2πr = 90/360 × 2π(70)
Al = 109.9 feet
In conclusion, According to the hypothesis, the distance from the point of departure to the point of arrival is equal to the length of the arc, which is equal to 109.9 feet.
Learn more about the arc length
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CQ
The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle: A sector showing a quarter of a circle is drawn. The radius is marked as 70 feet. The endpoints of the arc of the sector are marked as Starting Point and Return Point. The sector is filled with cattle. Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet? 439.6 feet 3846.5 feet 109.9 feet 1758.4 feet
