1. 1) 66/36
9
64
==⇒= PR
PR
2) 123*49*16/916/ 2
==⇒=⇒= XXXX
a) X=12(altura); 2x=24(comprimento)
b) 15144819 22
=+=⇒+= ACxAC
3) 2x=x+60 60=⇒ x (Triângulo Equilátero)
2/34/68/12*812
662
2
===⇒=⇒=
+
AEAE
AE
4) 2/4=x/(9-x) 18-2x=4x 6x=18 x=3
5)
rR
rrR
rrR
rd
rd
diagonalrR
)21(
2
2222
22
)2(2
22
22
+=
+=
+=
=
=
+=
)2412)(4(
)21/(22
)4(
4
)2(
2
22
22
−−=
+=⇒=
−=
−=
−=
π
π
π
π
S
rSeR
rS
rrS
rrS
6) %4444,12,1
)2,1( 2
2
2
⇒==
r
r
π
π
7)
mcb
mxa
x
m
3,009,0)
09,0100/9400/36)
1
40036
2
2
==
===
→
→
8)

2. 4
)2(2
2
2
3
2
32
2
332
=
=
×
÷
×
=
=
b
b
b
aba
ba
ba
9)
2,19
20
32
12
20
1216 222
=⇒=⇒=
+=
x
x
y
y
10)
2
2
2
1244
4
)14,340(
50
mS
S
=
×
−=
11)
my
y
y
y
y
x
x
x
2
548
548
)5(121169
)5(1113
12
25169
513
2
222
2
222
≅
−=
+=
++=
++=
=
+=
+=
12)

3. π
π
ππ
ππ
882
)5,10(8
900)15(4
1847
2
43
2
2
2
2
=
=
=×=
=⇒×





=
P
P
C
RR
Letra D
13)
Dois triângulos isósceles de ângulos de base = 110/2=55º, logo o
ângulo do centro da circunferência é2*(70)=140
18
7
140
360 2
π
π
=
→
→
x
x
r