Question

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Answer 1

Răspuns:

Explicație pas cu pas:

In cercul C(O,R) este inscris patratul ABCD.

a) R=4√2 cm

l₄=R√2=4√2·√2=8 cm.

a₄=l₄/2=8/2=4 cm

P₄=4·l₄=4·8=32 cm

A₄=l₄²=8²=64 cm²

b) l₄=10√2 cm  

l₄=R√2  ⇒R=l₄/√2=l₄√2/2=10√2·√2/2=10 cm

a₄=l₄/2=10√2/2=5√2 cm  

P₄=4·l₄=4·10√2=40√2 cm

A₄=l₄²=(10√2)²=200 cm²

c) a₄=4√2 cm

l₄=2·a₄=2·4√2=8√2 cm

R=l₄√2/2=8√2·√2/2=8 cm          

P₄=4·l₄=4·8√2=32√2 cm

A₄=l₄²=(8√2)²=128 cm²

d) P₄=80√2 cm

l₄=P₄/4=80√2/4=20√2 cm

a₄=l₄/2=20√2/2=10√2 cm      

R=l₄√2/2=20√2·√2/2=20 cm

A₄=l₄²=(20√2)²=800 cm²

e) A₄=72 cm²

l₄=√A₄=√72=6√2 cm    

a₄=l₄/2=6√2/2=3√2 cm    

R=l₄√2/2=6√2·√2/2=6 cm

P₄=4·l₄=4·6√2=24√2 cm