Civil Service Exam Reviewer · Measurement and Geometry · hard

How many diagonals does a polygon with 16 sides have?

  1. 208
  2. 120
  3. 104
  4. 13

Answer

C. 104

Solution

Diagonals = n(n − 3)/2 = 16(13)/2 = 104.

More Measurement and Geometry questions

  1. A garden 21 m by 10 m is surrounded by a walkway 2 m wide. What is the area of the walkway?
  2. What is the volume of a sphere with a radius of 12 cm? (π = 3.14)
  3. What is the volume of a cone with a radius of 6 cm and a height of 9 cm? (π = 3.14)
  4. A cylindrical water tank has a radius of 70 cm and a height of 180 cm. How many liters can it hold? (π = 3.14, 1 L = 1000 cm³)
  5. A window is shaped like a 15 dm × 9 dm rectangle topped by a semicircle whose diameter is the 9-dm side. What is the window's total area?…
  6. A runner moves at 28 m/s. How far in kilometers does she travel in 10 minutes?
  7. An open-top box (no lid) is 25 cm long, 25 cm wide and 12 cm high. What is the area of material used?
  8. A solid metal cube with 20-cm edges is dropped into a rectangular aquarium 59 cm long and 25 cm wide, fully submerging it. By how much…
  9. A right triangle has a hypotenuse of 26 cm and one leg of 10 cm. What is its area?
  10. A rhombus has diagonals of 10 cm and 10 cm. What is its area?

All Measurement and Geometry questions