McGraw-Hill Education GRE 2019

Sector Area and Arc Length Sector area represents the area of a piece of a circle. Arc length represents the length of a piece o ...

circumference. So how will you use the central angle to determine sector area? Let’s look at an example. If a circle has an area ...

Exercise: Circles Discrete Quantitative Questions What is the circumference of a circle whose area is 49π? A 7π B 14π C 24.5π D ...

For the following question, write your answer in the box. In the figure above, a square is inscribed in a circle whose area is ...

Questions 6 and 7 refer to the figure below. A B O In the circle above, central angle AOB measures 120 degrees. If the radius o ...

A O 6 B If the radius of the circle above is 6, then what is the area of the shaded region? A 18 B 36 C 9π – 18 D 18π – 18 E 18 ...

C O A 45° B In the figure above, radius OB has a length of 4. What is the area of triangle ABC? A 4 B 8 C 12 D 16 E 20 Quantit ...

P 12 O 5 Q Point O is the center of the circle above. QUANTITY A QUANTITY B The radius of the circle 13 A B C D The circumfere ...

A B C Point A is the center of the larger circle above. Point B is the center of the smaller circle above. QUANTITY A QUANTITY B ...

400 The key to solving this question is to recognize that the diameter of the circle is the diagonal of the square: To solve f ...

E Use the formula: central angle/360 = arc length/circumference. Plug in what you are told: central angle 360 = circumference3π ...

triangle are 5 and 12, the hypotenuse OPQ and thus the radius of the circle must be 13. D Test Choice B against the conditions ...

Surface Area of a Rectangular Solid and a Cube The following figure is a rectangular solid: Width Edge Length Height Face The ed ...

Thus to calculate the surface area of a cube, just calculate the area of one face and multiply that by six (since the cube has s ...

Diagonal of a Rectangular Solid The diagonal of a rectangular solid is the straight line distance from one vertex to the opposit ...

For this question, write your answer in the box. How many cubic feet of water are needed to fill a cylinder with a radius of 10 ...

Exercise: Solids and Cylinders Discrete Quantitative Questions If the volume of a cube equals its surface area, what is the len ...

What is the length of the diagonal of a cube whose surface area is 216? A 6 B 9 C 12 D 6√ 3 E 9√ 3 An empty cylindrical tank ...

For this question, write your answer in the box. What is the maximum number of cubes with an edge of length 5 that can fit into ...

Exercise Answers Discrete Quantitative Questions B Let e = the edge of the cube. Using the formulas for surface area and volume ...