Angular measure: 2*pi/5 radians or 72 degrees.
or
Length of arc: 2*r*pi/5 units or 144*r units, where r is the radius.
In a regular octagon, the circle circumscribing it has eight equal arcs, as the octagon has eight sides. The total measure of a circle is 360 degrees, so each arc measures 360 degrees divided by 8. Therefore, each arc in a circle circumscribed by a regular octagon measures 45 degrees.
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
the center of a circumscribed circle is called the focus.
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A circle and a pentagon are alike in that both are fundamental shapes in geometry defined by their boundaries: a circle has a continuous curve with all points equidistant from the center, while a pentagon has five straight sides and angles. Both shapes can be analyzed in terms of their area and perimeter. Additionally, they can be inscribed in or circumscribed around a common point, illustrating relationships between different geometric figures.
In a regular octagon, the circle circumscribing it has eight equal arcs, as the octagon has eight sides. The total measure of a circle is 360 degrees, so each arc measures 360 degrees divided by 8. Therefore, each arc in a circle circumscribed by a regular octagon measures 45 degrees.
The line joining the centre of the pentagon to any vertex is a radius of the circumscribed circle. The angle between such a line and the adjacent apothem is 360/10 = 36 degrees. If the radius is r, then we can now write: cos36 = 10.8/r So r = 10.8/cos36 = 13.350cm. to 3 decimal places.
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
If the distance from the centre of the pentagon to a vertex is r cm then the length of the arc is 0.4*pi*r cm
the center of a circumscribed circle is called the focus.
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To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
A circumscribed polygon is a polygon all of whose vertices are on the circumference of a circle. The circle is called the circumscribing circle and the radius of the circle is the circumradius of the polygon.
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A circle and a pentagon are alike in that both are fundamental shapes in geometry defined by their boundaries: a circle has a continuous curve with all points equidistant from the center, while a pentagon has five straight sides and angles. Both shapes can be analyzed in terms of their area and perimeter. Additionally, they can be inscribed in or circumscribed around a common point, illustrating relationships between different geometric figures.
A triangle has exactly one circumscribed circle.
assuming this is a regular pentagon (all five sides are equal length) the center is the intersection of the intersection of perpendicular bisectors of each side and should also be the center of the circle in which it is inscribed