ch 11, like all of it Flashcards

1
Q

Area of a parallelogram

A

A=bh

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2
Q

Area of a triangle

A

A=1/2(bh)

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3
Q

Area of a rhombus

A

A= [ d1(d2) ] 1/2

OR

A= bh (depends on the info you have)

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4
Q

Area of a trapezoid

A

A = 1/2h (b1 + b2)

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5
Q

The radius of a polygon inscribed in a circle goes from the center to the…

A

…vertex of the polygon

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6
Q

The radius of a polygon inscribed inside a circle is from the center of the polygon/circle to the…

A

…vertex of the polygon

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7
Q

A central angle is formed by-

A

-two radii drawn to the consecutive vertices

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8
Q

Apothem

A

the perpendicular distance from the center of the polygon to a side

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9
Q

Formula to find the area of a regular polygon

A

A= 1/2 a (apothem) times p (perimeter)

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10
Q

The area of a regular polygon is equal to half-

A

-the product of the apothem and the perimeter

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11
Q

Circumference

A

C=2π r

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12
Q

Area of a circle

A

A=π r^2

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13
Q

EX:
A ferris wheel has a diameter of 42 ft. How far will a rider travel during a 4-min ride if the wheel rotates once every 20 seconds?

A

there are 12 20 seconds in 4 minutes,

c= 2π * 21 = 42π * 12

505π ft

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14
Q

Arc length formula

A

m of arc/360 times 2π r

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15
Q

Area of sector

A

m of arc/360 times π r^2

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16
Q

If two triangles have equal heights, then the ratio of their areas equals-

A

-the ratio of their bases

17
Q

If two triangles have equal bases, then the ratio of their areas equals-

A

-the ratio of their heights

18
Q

If two triangles are similar, then the ratio of their areas equals-

A

-the square of their scale factor

19
Q

If the scale factor of two similar figures is a : b, then (2)

A

1) The ratio of the perimeters is a : b
2) The ratio of the areas is a^2 : b^2

20
Q

Imagine circle R is in circle S*

Suppose a point P of region S is picked at random. The probability that P is in region R equals-

A

R= Area of R/ Area of S