# SAT PRACTICE ON GEOMETERY WORKSHEET

Problem 1 :

What is the radius of a circle that has a circumference of π?

A) 1/4      B) 1/2     C) 1     D) 2     E) 4

Solution

Problem 2 :

In the figure above, arc SBT is one quarter of a circle with center R and radius 6. If the length plus the width of rectangle ABCR is 8, then the perimeter of the shaded region is

A) 8 + 3π        B) 10 + 3π      C) 14 + 3π     D) 1 + 6π

E) 12 + 6π

Solution

Problem 3 :

In the xy-coordinate plane, what is the area of the square with opposite vertices at (-2, -2) and (2, 2) ?

A) 4    B) 8    C) 16     D) 32   E) 64

Solution

Problem 4 :

In rectangle ABCD, point E is the midpoint of BC. If the area of quadrilateral ABED is 2/3, what is the area of rectangle ABCD?

A)  1/2      B)  3/4      C)  8/9     D)  1       E)  8/3

Solution

Problem 5 :

In right circular cylinder above has diameter d and height h. Of the following expressions, which represents the volume of the smallest rectangular box that completely contains the cylinder?

A) dh      B) d2h       C) dh2      D) d2h2       E) (d + h)2

Solution

Problem 6 :

If the volume of a cube is 8, what is the shortest distance from the center of the cube to the base of the cube?

A) 1     B) 2    C) 4    D) √2    E) 2√2

Solution

Problem 7 :

In the figure above, point A is the center of the circle and segments BD and CE are diameters. Which of the following statements is true?

A) CA > 6    B) ED > 4    C) BA  < 4   D) CA = 4   E) ED = 4

Solution

Problem 8 :

In the figure above, the two circles are tangent at point B and AC = 6. If the circumference of the circle with center A is twice the circumference of the circle with center C, what is the length of BC?

A) 1    B) 2    C) 3     D) 4    E) 6

Solution

Problem 9 :

The figure above shows part of a circle whose circumference is 45. If arcs of length 2 and length b continue to alternate around the entire circle so that there are 18 arcs of each length, what is the degree measure of each of the arcs of length b ?

A) 4°    B) 6°    C) 10°    D) 16°    E) 20°

Solution

Problem 10 :

In the figure above, the circle with center O is inscribed in square ABCD. What is the area of the shaded portion of the circle?

Solution

1) r = 1/2

2)  Perimeter = 10 + 3π

3)  32

4)  (8/9)

5)   h d2

6)  1 unit

7)  So, ED = 4, option E.

8)  BC = 2

9)  x = 4

10)  π/4

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