The square is inscribed in a circle with a radius of 4 dm, find the lengths of the arcs into which the chord circumference splits
| November 27, 2020 | education
The square is inscribed in a circle with a radius of 4 dm, find the lengths of the arcs into which the chord circumference splits, connecting the midpoints of its adjacent sides.
We know the radius of the circle is 4 dm. Now we can find the length of the circle, it is equal to 2пr.
L = 2 * п * 4 = 8п
Since a square was inscribed, in which all sides are equal, we can conclude that the circle was divided into 4 equal parts.
Therefore, to find the length of one of this arc, we divide the length of the entire circle by 4.
8п: 4 = 2п
Answer: 2п
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