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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.
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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.
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.
What is a true statement about a circle inscribed in a regular polygon?
The circle has a smaller area than the polygon.
An inscribed angle is an angle formed by two chords that share an endpoint.?
An inscribed angle is formed by two chords in a circle that meet at a common endpoint on the circle's circumference. The vertex of the angle lies on the circle, and the sides of the angle are segments of the chords. The measure of an inscribed angle is half the measure of the arc that it intercepts. This property is a key characteristic of inscribed angles in circle geometry.
How do you draw a regular decagon using a compass?
To draw a regular decagon using a compass, start by drawing a circle with your compass. Next, mark a point on the circle to serve as one vertex of the decagon. Then, use the compass to construct the radius and divide the circle into ten equal segments by marking points at equal angles (36 degrees apart). Finally, connect these points with straight lines to form the decagon.
The measure of an inscribed angle in a circle is the measure of the intercepted arc.?
Answer this question… half
A Polygon whose vertices are on a circle and whose other points are inside the circle?
Inscribed Polygon
If an angle is inscribed in a circle what is the measure of the angle?
6Improved Answer:-There are 360 degrees around a circle and any part of it is an arc.
The measure of an inscribed angle in a circle is the measure of the intercepted arc?
The lengthÊof an inscribed angle placed in a circle based on on the measurement of a intercepted arc is called a Theorem 70. The formula is a m with a less than symbol with a uppercase C.
