2014 · Q92
What is the area of the larger segment of a circle formed by a chord of length 5 cm subtending an angle of 90° at the centre?
Elementary MathematicsMensuration
- A(25/4)(π/2 + 1) cm^2
- B(25/4)(π/2 - 1) cm^2
- C(25/4)(3π/2 + 1) cm^2
- DNone of these
Explanation
r = 5/√2; larger segment = πr^2 - (sector - triangle) = (25/4)(3π/2 + 1) cm^2.