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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 else can I help you with?
What parallelogram can be inscribed in a circle?
if a parallelogram is inscribed in a circle it is always a rectangle...............
How do you find the ratio of a circle inscribed a rhombus?
A rhombus is a flexible shape which can range from almost a square to a very narrow shape. A rhombus with sides of x cm can contain a circle with any radius less than x/2 cm. The information in the question is insufficient to determine the radius. And a ratio requires some characteristic of the inscribed circle to be compared to an analogous characteristic of another shape.
The opposite angles of a quadrilateral inscribed in a circle are?
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
What kind of polygon has all vertices on the circle?
inscribed polygon
What is the rectangular solid of maximum volume that can be inscribed in a sphere?
It is a cuboid
What is a sentence for inscribed?
The coffin was inscribed with a warning and a curse.He had the wedding band inscribed for her.
What is an inscribed marker?
Stela:- inscribed slab or pillar
How do you use inscribed in a sentence?
I would like to have this piece of marble inscribed with an axiom.
What is a quadrilateral inscribed in a circle called?
It is an inscribed quadrilateral or cyclic quadrilateral.
What parallelogram can be inscribed in a circle?
if a parallelogram is inscribed in a circle it is always a rectangle...............
Is the surface inscribed in a plane figure?
the surface inscribed in a plan figure
How do you find the measure of inscribed angles?
To find the measure of an inscribed angle in a circle, you can use the property that the inscribed angle is half the measure of the intercepted arc. Specifically, if the inscribed angle intercepts an arc measuring ( m ) degrees, then the inscribed angle measures ( \frac{m}{2} ) degrees. Additionally, if you know two inscribed angles that intercept the same arc, they will be congruent.
Is it possible that a parallelogram be inscribed in a circle?
All geometric shapes can be inscribed in a circle, since the circle is bigger than the other geometric shape inscribed in it. (Obviously)
What is the difference between an inscribed and a circumscribed shape?
What is the difference between an inscribed and a circumscribed shape?
What is the center of an inscribed angle called?
The center of an inscribed angle is either a vertex or an endpoint.
What is a inscribed angle?
An inscribed angle is an angle with its vertex on a circle and with sides that contain chords of the circle.
When each side of a quadrilateral is tangent to a circle The quadrilateral is inscribed in the circle?
No, the circle is inscribed in the quadrilateral.
