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What is the maximum number of intersections that a regular pentagon can have with a circle on a plane?
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∙ 12y ago
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∙ 12y ago
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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
What are the maximum number of points of intersection for a circle and a pentagon in the same plane?
10.
What shape has no right angles?
A regular 5 sided pentagon is one such example of a shape having no right angles
Why is a regular pentagon a polygon?
A regular pentagon has straight sides and is closed so its a polygon. Any shape with straight sides and is closed is a polygon. Example O (circle) has curved lines so its not a polygon L (square) is open therefore it is not a polygon.
What is the antonym for pentagon?
Circle
What is the maximum number of possible intersections of the given loci of a circle and a pair of parallel lines?
4
A circle is inscribed in a regular pentagon whose sides are 12 cm. Find the area inside the pentagon and outside the circle?
124
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
What are the maximum number of points of intersection for a circle and a pentagon in the same plane?
10.
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?
1
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 would you draw a regular pentagon?
*Note that it is assumed you know what the terms diameter, perpendicular, bisect/bisection and intersection mean in relation to geometry. If not, they are explained in the discussion area. To construct a regular pentagon using a compass and ruler (a longer, but more precise method): # Draw a circle in which to inscribe the pentagon and mark the center point O. # Choose a point A on the circle; this will be one vertex of the pentagon. Draw the diameter line through O and A. # Construct a line perpendicular to the line OA passing through O. Mark its intersection with one side of the circle as the point B. # Construct the point C as the midpoint of O and B. # Draw a circle centered at C through the point A. Mark its intersection with the line OB(inside the original circle) as the point D. # Draw a circle centered at A through the point D. Mark its intersections with the original circle as the points E and F. # Draw a circle centered at E through the point A. Mark its other intersection with the original circle as the point G. # Draw a circle centered at F through the point A. Mark its other intersection with the original circle as the point H. # Construct the regular pentagon AEGHF. To construct a regular pentagon using a protractor (less time, but not as accurate): # Make a short line. This will be one side of the pentagon. Label the ends A and B # Place the baseline of the protractor on this line, with the centre at A. # Mark the point of 108o with a dot. # Make another line which starts at A, is the same length as AB and goes towards the dot. # Repeat the use of the protractor on the newest line you have drawn three more times. The final line should meet up with B.
What shape has no right angles?
A regular 5 sided pentagon is one such example of a shape having no right angles
Why is a regular pentagon a polygon?
A regular pentagon has straight sides and is closed so its a polygon. Any shape with straight sides and is closed is a polygon. Example O (circle) has curved lines so its not a polygon L (square) is open therefore it is not a polygon.
What is the antonym for pentagon?
Circle
What is the maximum number of distinct intersections of 30 different coplanar circles?
No two circles can intersect more than twice. Each circle can intersect with each other circle. Thus there ought to be 2 × 30 × (30 - 1) intersections. However, this counts each intersection twice: once for each circle. Thus the answer is half this, giving: maximum_number_of_intersections = ½ × 2 × 30 × (30 - 1) = 30 × 29 = 870.
What are some regular shapes?
1. square 2. hexagon 3. pentagon 4. rectangle 5. triangle 6. circle 7. octagon
