Civil Service Exam Reviewer · Measurement and Geometry · hard

A circle has an area of 78.5 m². What is its circumference? (π = 3.14)

  1. 31.4 m
  2. 15.7 m
  3. 39.25 m
  4. 62.8 m

Answer

A. 31.4 m

Solution

r² = 78.5 ÷ 3.14 = 25 → r = 5. C = 2πr = 31.4 m.

More Measurement and Geometry questions

  1. The diagonal of a square is 28 cm. What is its area?
  2. The length and width of a rectangle are in the ratio 5 : 2, and its perimeter is 84 m. What is its area?
  3. The four walls of a room 3 m by 6 m with a 2.5-m ceiling are to be painted. There is a door of 2 m² and windows totaling 2 m². If 1 liter…
  4. A rectangular tank 1 m × 1 m × 2 m is filled by a hose delivering 40 liters per minute. How long will it take to fill the tank?
  5. A 3-m pole casts a shadow 6 m long. At the same time, a building casts a shadow 66 m long. How tall is the building?
  6. A garden 20 m by 6 m is surrounded by a walkway 2 m wide. What is the area of the walkway?
  7. A circle is inscribed in a square with sides of 8 cm. What is the area of the region inside the square but outside the circle? (π = 3.14)
  8. What is the volume of a cone with a radius of 3 cm and a height of 10 cm? (π = 3.14)
  9. A cylindrical water tank has a radius of 90 cm and a height of 90 cm. How many liters can it hold? (π = 3.14, 1 L = 1000 cm³)
  10. A window is shaped like a 9 dm × 13 dm rectangle topped by a semicircle whose diameter is the 13-dm side. What is the window's total area?…

All Measurement and Geometry questions