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21 Cards in this Set
- Front
- Back
Arc length = angle/360 x pi x diameter |
Example: 50/360 x pi x 14 = 6.109cm |
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Area of a circle = pi x radius2 Radius2 = radius squared |
Example: Pi x 5^2 Pi x 25 = 78.54cm |
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Area of a sector = angle/360 x pi x radius2 |
Example: 53/360 x pi x 10^2 53/360 x pi x 100 = 46.25cm |
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Area of a trapezium = 1/2(a+b)xh |
Example: 1/2(7+11)x5= 1/2(18)x5= 9x5= 45cm2 |
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Sum of exterior angles of any polygon = 360 degrees |
Interior angle + exterior angle = 180 degrees Sum of interior angles = (n-2)x180 |
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Area of triangle = 1/2abSinC |
Example: 1/2 x 10 x 8 x sin(35) = 40 x sin(35) = 22.943cm^2 |
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Circle theorem 1 |
The angle in a semi- circle is 90 degrees |
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Circle theorem 2 |
The angle at the circumference is half the angle at the centre |
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Circle theorem 2 |
The angle at the circumference is half the angle at the centre |
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Circle theorem 3 |
The angles in the same segment from a common chord are equal |
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Circle theorem 4 |
The opposite angles in a cyclic quadrilateral always add to 180 degrees |
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Circle theorem 5 |
The angle between the radius and a tangent is 90 degrees |
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Alternate segment theorem |
The angle between the chord and the tangent is equal to opposite angle inside the triangle |
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Circle theorem 7 |
The tangents to a circle from the same point will be equal length |
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Circle theorem 8 |
The radius through the midpoint of a chord will bisect the chord at 90 degreees |
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Circumference of a circle = pi x diameter |
Example: C = pi x d C = pi x 14 = 43.98 cm |
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Circumference of a circle = pi x diameter |
Example: C = pi x d C = pi x 14 = 43.98 cm |
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Density = mass / volume |
Example: D = m/v D = 800/50 = 16 g/cm3 |
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Pressure = force / area |
Example: A = f/p A = 270/45 = 6m2 |
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Speed = distance / time |
Example: S = D/t S = 165/3 = 55 miles per hour |
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Congruent triangles |
SSS - side side side ASA - angle side angle SAS - side angle side RHS - right angle hypotenuse side |