0
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.
What else can I help you with?
What is circumscribed area and inscribed area of regular polygon?
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.
How many sizes the octagon has?
An octagon has eight sides, but it can come in various sizes depending on the length of each side. There are regular octagons, where all sides and angles are equal, and irregular octagons, which can have sides of different lengths. The size of the octagon is typically described by the length of its sides or its overall dimensions, such as the radius of its circumscribed circle.
The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
What is the measure of each arc of a circle that is circumscribed about a regular pentagon?
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.
The center of a circumscribed circle?
Is equidistant from all points on the circle.
What is circumscribed area and inscribed area of regular polygon?
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.
How do you algebraically determine the perimeterof arectangular octagon inscribed in a circle of diameter 15cmEach side of the octagon is 6.9cm from the centre of the circle?
We know that an octagon is an eight-side polygon. Since each side has the same distance form the center of the circumscribed circle of the octagon, this octagon is a regular octagon. If we draw the radii of the circle (their endpoints there are at the vertexes of the octagon), we form 8 isosceles triangle, which radius represents two their congruent sides with a measure of 7.5 cm, and the distance drawn from the center of the circle to the sides of the octagon represents their altitudes with a measure of 6.9 cm. So, by using the Pythagorean theorem we can find the half of the side of the octagon, which is: 7.5)^2 - (6.9)^2 = 8.64 Since one half of the octagon side is square root of 8.64, the whole side is 2(square root of 8.64) Thus the perimeter of this octagon is approximately 47 cm [8 x 2(square root of 8.64)].
The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
To circumscribed a circle about a triangle you use the?
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
What is the measure of each arc of a circle that is circumscribed about a regular pentagon?
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.
What is a circumscribed polygon?
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.
How many circumscribed circles can a triangle have?
A triangle has exactly one circumscribed circle.
What is a polygon whose vertices lie on a circle?
A polygon which has a circumscribed circle is called a cyclic polygon.All regular simple polygons, all triangles and all rectangles are cyclic.
The center of a circumscribed circle?
Is equidistant from all points on the circle.
How is the inscribed circle and circumscribed circle alike?
The inscribed circle and circumscribed circle of a polygon are alike in that both are defined relative to the polygon's vertices and sides. The inscribed circle, or incircle, touches each side of the polygon at one point, while the circumscribed circle, or circumcircle, passes through all the vertices. Both circles are essential in understanding the geometric properties of the polygon and are centered around the same point in regular polygons. Additionally, they are crucial for calculating various measurements, such as area and radius.
A parallelogram in a circumscribed circle must be a?
rectangle
Circumscribe in a sentence?
He circumscribed the square with a circle
