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17 Cards in this Set
- Front
- Back
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Any line segment that connects two points on a circle is called... |
CHORD Equal chords are equidistant from centre |
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Any line segment that connects the center to a point on the circle is called... Any chord that passes through the center is called... |
...radius ... Diameter (2*radius) |
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Any chord that is not a diameter of a circle will be........ than the diameter of the circle. |
SHORTER |
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Any line that is tangent to a circle is...... to a radius or diameter at that point
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PERPENDICULAR |
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Circumference = 2πr
π is equal to... |
Some GMAT problems will require you to calculate π. In those, use 3.14 or 22/7 |
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A full revolution equals the Circumference
If a wheel spins at 3 revolutionsper second and its diameter is 10 units... |
A point on the edge will travel at a rate of 30π/s (Circumference = 10 π, and the point travel three circumferences per second)
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Calculate a circles Arc Length with a Radius... |
A portion or distance ON a circle
Arc Lenght = RADIUS * Central Angle |
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Calculate a circle Arc Length with a Circumference... |
The length of Arc AxB can be calculateded by:
Circumf *Angle/360 |
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How do we call the Height between a Chord and the frontier or a circle? |
RISE |
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Arc length |
or Lenght = angle * r |
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Calculate the Perimeter of a Sector... |
Find the length of each side The perimeter of a sector is Arc Lenght + 2 * Radius |
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Area of a Sector
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Area = 1/2 * r² * Angle or Area = x/360 * π * r² |
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An inscribed angle is equal to... |
... half of the arch it intercepts You can be asked this property by having the outer angle different then half the “central angle”. If that is the case,the point of the “central angle” |
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A triangle is said to be inscribed in a circle if... |
...all of the vertices are points on the circle |
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The main property of an inscribed Right Triangle is... |
...that if one of the sides is the diameter, the triangle IS a right triangle. Conversely, any inscribed right triangle has the diameter as one of its sides... |
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A right triangle can be opposed to a semicircle? |
YES! Aright triangle can be opposed to a semicircle. If you need to calculate thatarc, it is 180° |
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If a square is inscribed within a circle, the diameter equals... |
...the diagonal of if |
