A circle is inscribed in a square of side length . What is the area of the region inside the square but outside the circle? (Use )
Answer and explanation
Correct answer: C.
- Step 1: Area of square is .
- Step 2: Diameter of inscribed circle equals square side: .
- Step 3: Area of circle: .
- Step 4: Area outside circle: .
Answer
42\text{ cm}^2.
Why not the others: '' is the total square area; '' is the circle area; '' doubles the difference.
Practise more Mathematical Problem Solving and Geometry.
Free questions with an explanation for every one, and full timed Egyptian STEM Schools Admissions Assessment mock tests.
More Mathematical Problem Solving and Geometry questions
- If a train traveling at takes to pass a signal pole completely, what is the length of the train?
- A regular polygon has an exterior angle measuring . How many sides does this polygon have?
- If , what is the numerical value of ?
- A water tank can be filled by Pipe A in 6 hours and by Pipe B in 12 hours. If both pipes are opened simultaneously, how long will it take to…
- In a right triangle, the hypotenuse is and one leg is . What is the area of the triangle?
- What is the sum of all positive integers from 1 to 100 inclusive?