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Q: What is the measure of each arc in a circle circumscribed by a regular octagon?
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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)].


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.


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.


A parallelogram in a circumscribed circle must be a?

rectangle


Circumscribe in a sentence?

He circumscribed the square with a circle


Is a parallelogram a rhombus if a circle is circumscribed?

No.No.No.No.