circle unit formulas and definitions: Flashcards

1
Q

What is the formula for circumference?

A

2 x pi x radius or d x pi

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2
Q

What is the formula for the arc length?

A

measure of the arc/360 times the circumference

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3
Q

What is the formula for the area of a circle?

A

pi x radius squared

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4
Q

What is the formula for the area of a triangle?

A

b times h/2

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5
Q

What is the formula for the area of
a polygon?

A

Apothen x perimeter/2

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6
Q

How do you find the area of a segment?

A

Area sector - area triangle

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7
Q

How do you find the area of a shaded region?

A

Area of the circle - area segment

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8
Q

What is the annulus?

A

The region between two concentric circles

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9
Q

What are concentric circles?

A

Coplanar circles that have the same center

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10
Q

What are coplanar circles?

A

Circles in the same plane

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11
Q

What is a central angle?

A

An angle whose vertex lies on the center of the circle

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12
Q

THEOREM: The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted arcs. What is the formula?

A

Big arc - smaller arc/2

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13
Q

THEOREM: The measure of an angle formed by two lines that intersect inside a circle is half the sum of the measures of the intercepted arcs. What is the formula?

A

Arc 1 + arc 2/2

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14
Q

What is the equation formula for a circle?

A

( x - h )^2 + ( y - k )^2 = r^2

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