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A regular pentagon is inscribed inside a circle that has radius of length 9 What is the measure of each angle in the pentagon?
Since it is a regular pentagon, all the sides are the same length.
Hence the pentagonal centre is the same as the circle centre.
This makes for 5 Isosceles triangles, that construct the pentagon.
Taking the centre divide the centre angle of 360 degrees by '5' . Hence
360/5 = 72 degrees for each pentagonal Isosceles triangle.
Using the Isoscelean Law the other two angles are (180 - 72) / 2 = 54 degrees.
Hence the internal angles of the pentagon are each 108 degrees.
Hope that helps!!!!!
What else can I help you with?
A circle is inscribed in a regular pentagon whose sides are 12 cm. Find the area inside the pentagon and outside the circle?
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Where is the center point of the pentagon inscribed in a 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
1.The area of a circle is 81π square units. What is the radius of this circle2.Find the area of a regular pentagon inscribed in a circle of radius 3?
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What is inscribed pentagon?
A pentagon is a five sided geometrical figure; if the pentagon fits exactly inside some other geometrical figure (such as a circle) then it can be said to be inscribed in that figure.
What is the vertices of the pentagon?
The vertices of a pentagon are the five points where its sides meet. In a regular pentagon, these vertices are equidistant from the center and are evenly spaced around a circle. In general, the coordinates of the vertices can vary depending on the specific shape and size of the pentagon. For example, a regular pentagon inscribed in a unit circle has vertices at angles of (72^\circ) increments from a starting point.
What does this mean when a circle is inscribed in a regular polygon?
Nothing particular. One of the properties of regular polygons - however many sides - is that it can have a circle inscribed in it.
Which is true about a circle is inscribed in a hexagon?
The radius of a circle inscribed in a regular hexagon equals the length of one side of the hexagon.
A regular decagon is inscribed in a circle find the measure of each minor arc?
To find the measure of each minor arc in a regular decagon inscribed in a circle, we first need to calculate the central angle of the decagon. Since a regular decagon has 10 sides, each interior angle is 144 degrees (180 * (10-2) / 10). The central angle of the decagon is twice the interior angle, so it is 288 degrees. Therefore, each minor arc in the regular decagon inscribed in the circle would measure 288 degrees.
What is the measure of each arc of a circle that is circumference about a regular pentagon?
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
How do you find out if the polygon of a circle is regular or not?
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
Radius of a circle inscribed in a hexagon?
If you know the length of the side of the (regular) hexagon to be = a the radius r of the inscribed circle is: r = a sqrt(3)/2
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.
