SAT Mc Graw Hill 2011

6. The figure above consists of a circle with radius
   2 inscribed in an equilateral triangle in which all
   three interior angle bisectors are drawn. What is
   the total area of the shaded regions?
   (A)

(B)

(C)

(D) 2π+ 2

(E) π+ 2

7. In the figure above, Cis the center of the
   circle, AC=12, and ∠BAD= 60 °. What is the
   perimeterof the shaded region?
   (A) 12 + 4 π

(B)

(C)

(D)

(E) 12 3 4+ π

12 3 3+ π

63 3+ π

63 4+ π

A

B

C

D

22

3

π−

22

3

π+

23

2

8. In the figure above, PRis the radius of the cir-
   cle as well as a side of the rectangle. If the cir-
   cle has an area of 4πand the rectangle has an
   area of 8, then what is the perimeterof the
   shaded region?
   (A) π+ 8
   (B) π+ 10
   (C) π+ 12
   (D) 2π+ 8
   (E) 2π+ 12


9. The figure above shows a square with sides of
   12 centimeters in which a smaller square with
   sides acentimeters is inscribed. If ais an inte-
   ger and 2 b 5, then what is one possible
   value for the area of the shaded square?

12

b a

12

P

R

386 McGRAW-HILL’S SAT

....

1 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6