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Application of relation between arc of length and central angle?
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
What is the circumference of a circle with a length of an arc 28.61 with a central of 120 what is the circumference?
A central angle of 120 is one third of the circle, so the arc length of 28.61 is one third of the circumference. 28.61 X 3 = 85.83
If the circumference of the circle is 52 m what is the length of the thick arc that covers one-quarter of the circle?
13 m
How do you find the arc length of a circle that has an inscribed polygon?
What do you mean by "arc length of a circle"? If you mean the arc length between two adjacent vertices of the inscribed polygon, then: If the polygon is irregular then the arc length between adjacent vertices of the polygon will vary and it is impossible to calculate and the angle between the radii must be measured from the diagram using a protractor if the angle is not marked. The angle is a fraction of a whole turn (which is 360° or 2π radians) which can be multiplied by the circumference of the circle to find the arc length between the radii: arc_length = 2πradius × angle/angle_of_full_turn → arc_length = 2πradius × angle_in_degrees/360° or arc_length = 2πradius × angle_in_radians/2π = radius × angle_in_radians If there is a regular polygon inscribed in a circle, then there will be a constant angle between the radii of the circle between the adjacent vertices of the polygon and each arc between adjacent vertices will be the same length; assuming you know the radius of the circle, the arc length is thus one number_of_sides_th of the circumference of the circle, namely: arc_length_between_adjacent_vertices_of_inscribed_regular_polygon = 2πradius ÷ number_of_sides
Convert degrees to meters?
Converting degrees to meters involves understanding the relationship between angles and arc length on a circle. Since one degree is equal to 1/360th of a full circle, you can use this ratio to convert degrees to radians by multiplying the degree measure by π/180. To convert radians to meters, you would need to know the radius of the circle. The formula to convert radians to arc length is arc length = radius x angle in radians.
