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Walbottle Higher Facts 2 By Area > Shape 2 Facts > Flashcards

Shape 2 Facts Flashcards

1
Q

How do you find the area of a parallelogram?

A

Base x perpendicular height

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2
Q

How do we find the area of a rectangle?

A

Length x width

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3
Q

How do we find the area of a triangle?

A

Half x base x perpendicular height

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4
Q

What is the formula for the area of a trapezium?

A

Half x (top + bottom) x height

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5
Q

Name two 2D shapes whose area formulae include dividing by 2.

A

Triangle and Trapezium

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6
Q

What’s the formula for the circumference of a circle?

A

πd or 2πr

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7
Q

What’s the formula for the area of a sector?

A

πr² x angle / 360

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8
Q

What’s the formula for the area of a circle?

A

πr²

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9
Q

What’s the formula for the length of an arc?

A

2πr x angle / 360

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10
Q

How do you find the area of a semi circle?

A

πr² ÷ 2

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11
Q

If you know the length of a radius of a circle, how do you find the diameter?

A

Double the radius

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12
Q

What do we call the straight line across a circle that does not go through the centre?

A

Chord

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13
Q

What do we call the part of a circle between a chord and the circumference?

A

Segment

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14
Q

What do we call the part of a circle between two radii and the circumference

A

Sector

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15
Q

What do we call the straight line that touches a curve at a point but doesn’t cross it?

A

Tangent

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16
Q

Complete the circle theorem: “The angle in a semi circle is …”

A

A right angle

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17
Q

Complete the circle theorem: “The perpendicular from the centre of a circle to a chord….”

A

Bisects the chord

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18
Q

Complete the circle theorem: ‘a radius meets a tangent at…’

A

A right angle

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19
Q

Complete the circle theorem: ‘Opposite angles in a cyclic quadrilateral…’

A

Sum to 180 degrees

20
Q

Complete the circle theorem: ‘The angle at the centre is …”

A

Twice the angle at the circumference.

21
Q

Name the circle theorem which has a triangle and a tangent with a circle

A

Alternate segment theorem

22
Q

What’s the name for a quadrilateral which has all four vertices touching the circumference of a circle?

A

Cyclic quadrilateral

23
Q

Are bearings measured clockwise or antclockwise?

A

Clockwise

24
Q

From which compass direction are bearings measured?

A

North

25
Q

How many figures must a bearing be?

A

3

26
Q

When measuring a bearing of A from B where is the centre of the protractor placed?

A

On B

27
Q

If the bearing of A from B is 110, what is the bearing of B from 8

A

110 + 180 = 290

28
Q

Which regular shapes tessellate?

A

Squares, equilateral triangles and regular hexagons.

29
Q

What is tessellation?

A

Shapes fitting together with no gaps between them.

30
Q

When regular hexagons tessellate how many meet at a point?

A

3

31
Q

When squares tessellate how many meet at a point?

A

4

32
Q

Why don’t regular pentagons tessellate?

A

No multiple of their interior angle equals 360 degrees

33
Q

If the length scale factor is k, what is the volume scale factor?

A

k³

34
Q

If the length scale factor is k, what is the area scale factor?

A

k²

35
Q

If the volume scale factor is t³, what is the area scale factor?

A

t²

36
Q

If the volume scale factor is t³, what is the length scale factor?

A

t

37
Q

If the volume scale factor is a, what is the length scale factor?

A

Cube root of a

38
Q

If the area scale factor is a, what is the length scale factor?

A

√a

39
Q

How do you find the volume of a cube with side length x?

A

x³

40
Q

How do you find the volume of a cuboid?

A

Length x width x height

41
Q

How do you find the volume of a cylinder with height h and radius r?

A

πr²h

42
Q

How do you find the volume of a prism?

A

The area of the cross section multiplied by the height

43
Q

What is the formula for the curved surface area of a cylinder with height h and radius r?

A

2πrh

44
Q

How do you find the volume of a cone with height h and radius r?

A

A third x πr²h

45
Q

How do you find the surface area of a cuboid with length a, width b and height c?

A

2(ab + ac + bc)

Walbottle Higher Facts 2 By Area (7 decks)

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