2018 · Q90
The area of the region bounded externally by a square of side 2a cm and internally by the circle touching the four sides of the square is
Elementary MathematicsCircles
- A(4−π)a2(4-\pi) a^{2}
- B(π - 2) a2a^2
- C(8−π)a22/{(8-\pi)a^2}{2}
- D(π−2)a22\; /{(\pi-2)a^2}{2}
Explanation
The square has area (2a)^2 = 4a^2 and the inscribed circle has radius a, area pi a^2. The region between them has area 4a^2 - pi a^2 = (4 - pi) a^2. Hence option A.