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21 Cards in this Set
- Front
- Back
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An apothem of a regular polygon is...
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the perpendicular line segment from the center of the polygon to one of its sides.
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The area of a circle is...
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the limit of the areas of the inscribed regular polygons.
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The area of a sector of a circle is...
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a region bounded by an arc of the circle and the two radii to the endpoints of the arc.
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The area of a sector of a circle is...
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(m / 360)*pi*r^2, where m is the degree measure of the central angle of the sector.
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If a sector is a certain fraction of a circle...
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then its area is the same fraction of the circle’s area.
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A central angle of a regular polygon...
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is an angle formed by radii drawn to two consecutive vertices.
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The circumference of a circle is...
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the limit of the perimeters of the inscribed regular polygons.
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The length of an arc is...
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(m / 360) times the circumference of the circle, or (m/360)*2(pi)r.
(m is the degree measure of the central angle of the arc.) |
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If an arc is a certain fraction of a circle...
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then its length is the same fraction of the circle’s circumference.
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limit
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A number that a function approaches as x approaches either positive or negative infinity.
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pi
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The ratio of a diameter to a circumference.
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The radius of a regular polygon is...
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a line segment or the length of the line segment that connects the center to a vertex.
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A regular polygon is...
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a convex polygon that is both equilateral and equiangular.
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Names of regular polygons
3 sided polygon 4 sides 5 sides 6 sides 7 sides 8 sides 9 sides 10 sides 12 sides |
3: equilateral triangle
4: square 5: regular pentagon 6: regular hexagon 7: regular heptagon 8: regular octagon 9: regular nonagon 10: regular decagon 12: regular dodecagon |
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A sector of a circle is...
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the region bounded by an arc of the circle and the two radii to the endpoints of the arc.
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Every regular polygon...
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is cyclic.
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The perimeter of a regular polygon having n sides is ...
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2Nr, in which N = sin (180 / n)
and r is the radius.
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The area of a regular polygon having n sides is...
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Mr^2 , in which M = n(sin (180/n))(cos (180/n))
and r is its radius.
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If the radius of a circle is , then the circumference is...
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2(pi)r
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If the diameter of a circle is , then the circumference is ...
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(pi)d
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If the radius of a circle is , then the area is...
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(pi)r^2
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