Civil Service Exam Reviewer · Measurement and Geometry · hard
The diagonal of a square is 10 cm. What is its area?
- 50 cm²
- 100 cm²
- 25 cm²
- 50.02 cm²
Answer
A. 50 cm²
Solution
For a square, A = d²/2 = 10²/2 = 50 cm².
More Measurement and Geometry questions
- The four walls of a room 3 m by 4 m with a 2.5-m ceiling are to be painted. There is a door of 2 m² and windows totaling 4 m². If 1 liter…
- A rectangular tank 4 m × 2 m × 1 m is filled by a hose delivering 40 liters per minute. How long will it take to fill the tank?
- A 51-m ladder leans against a wall with its foot 24 m from the wall. How high up the wall does it reach?
- If the radius is multiplied by 4, by what factor does the area of a circle increase?
- How many diagonals does a polygon with 19 sides have?
- A garden 40 m by 36 m is surrounded by a walkway 3 m wide. What is the area of the walkway?
- A circle is inscribed in a square with sides of 16 cm. What is the area of the region inside the square but outside the circle? (π = 3.14)
- What is the volume of a cone with a radius of 6 cm and a height of 10 cm? (π = 3.14)
- A cylindrical water tank has a radius of 80 cm and a height of 160 cm. How many liters can it hold? (π = 3.14, 1 L = 1000 cm³)
- A window is shaped like a 15 dm × 16 dm rectangle topped by a semicircle whose diameter is the 16-dm side. What is the window's total…