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NÅGRA KOMMENTARARER TILL LÖSNINGARNA

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2702a<br />

2,5 ⋅1,5<br />

2,5<br />

<br />

⋅ 2,0 + = 6,9 cm<br />

2<br />

rektangel<br />

triangel<br />

2702c<br />

2,0(2,0 + 3,5)<br />

2⋅ = 11 cm<br />

2<br />

arean av 1 parallelltrapets<br />

2703a<br />

A = 2,6<br />

<br />

⋅ 3,6 +<br />

<br />

π ⋅ 1,3 = 15 cm<br />

rektangel area cirkel area<br />

O =<br />

<br />

π ⋅ 2,6 + 2<br />

<br />

⋅ 3,6 = 15 cm<br />

cirkelns omkretsw<br />

sidorna<br />

2<br />

2<br />

2 2<br />

2704a<br />

A =<br />

<br />

π ⋅2,7 /2−5,4 <br />

⋅ 2,7/2= 4,2 cm<br />

2 2<br />

halvcirkel triangel<br />

2704c<br />

A = 14 ⋅14 − π ⋅ 7 = 42 cm<br />

2705a<br />

a⋅ a= a<br />

2<br />

hela<br />

vita<br />

kvadrat cirkel<br />

a ⋅ a = a<br />

2<br />

/2 /2<br />

2 2 2<br />

a − a /2 = a /2<br />

skuggat<br />

2<br />

a<br />

2 2<br />

a /2 2 a 1<br />

= = ⋅<br />

2 2<br />

a a<br />

2 2 a<br />

1<br />

0,5 = 50%<br />

2 2<br />

=<br />

LÖSNINGAR DEL B<br />

2702b<br />

3,01,5<br />

<br />

⋅ + 1,01,0<br />

<br />

⋅ + 3,01,5<br />

<br />

⋅ = 10 cm<br />

rektangel kvadrat rektangel<br />

2702d<br />

3,0 ⋅ 4,0<br />

2<br />

arean av romben<br />

= 6,0 cm<br />

2703b<br />

A = 2,5<br />

<br />

⋅4,4− <br />

π ⋅ 1,25 / 2 = 8,5 cm<br />

rektangel area halvcirkel area<br />

2<br />

2<br />

2 2<br />

O = 2,5<br />

<br />

+ 4,4 + 4,4 +<br />

<br />

π ⋅ 2,5/ 2 = 15 cm<br />

sidorna halvcirkel omkrets<br />

2704b<br />

A = 2,8<br />

<br />

⋅1,4− <br />

π ⋅ 1,4 / 2 = 0,84 cm<br />

rektangel halvcirkel<br />

kvadrat kvarts cirkel<br />

2 2<br />

2704d<br />

A = 4,8<br />

<br />

⋅4,8 −<br />

<br />

π ⋅ 4,8 / 4 = 4,9 cm<br />

2705b<br />

2 2<br />

π ⋅ r /2 = πr<br />

/2<br />

hela<br />

2 2<br />

( r/2) r /4<br />

π ⋅ = π<br />

<br />

vita<br />

2 2 2<br />

<br />

πr /2 − πr /4 = πr<br />

/4<br />

skuggat<br />

2<br />

π r<br />

2 2<br />

πr /4 4 πr<br />

2<br />

= = ⋅<br />

2<br />

2<br />

π r /2 π r 4 π r<br />

2<br />

0,5 =<br />

50%<br />

2 2<br />

2<br />

=<br />

49

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