Circle Flashcards

1
Q

Circumference

A

2ñr

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2
Q

Circle Theorem 1

Angles at the Center

A

Twice the angle at the circumference standing on the same arc.

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3
Q

Circle Theorem 2

Angles in the same Segment

A

Are equal

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4
Q

Circle Theorem 3

Angles in a SemiCircle

A

The angle subtended at the circumference by a diameter is a right angle.

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5
Q

Circle Theorem 4

Cyclic Quadrilateral

A

Opposite angles are supplementary

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6
Q

Circle Theorem 5

Exterior angle of a cyclic quadrilateral

A

Equal to the interior opposite angle

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7
Q

Circle Theorem 6

Angle between a Tangent and Radius

A

Is 90°

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8
Q

Circle Theorem 7

Angle between a Tangent and a Chord

A

Is equal to the angle in the alternate segment

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9
Q

Circle Theorem 8

Center of a circle and Midpoint of a Chord

A

Is perpendicular

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10
Q

Circle Theorem 9

Length of two Tangents from an external point to the point of contact on the circle

A

are equal.

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11
Q

Area

A

ñr^2

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12
Q

Arc length

A

°/360*2ñr

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13
Q

Area of sector

A

°/360*ñr^2

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