Find the perimeter of major sector of a circle of radius 12 metres, whose minor sector subtends an angle of 75° at the centre.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 24 + 19π metres.
Given that
The circle of radius (r) = 12 metres
The minor sector subtends an angle of 75° at the centre
Formula used
Perimeter of a sector of a circle P = 2r + rθ, where r is the radius and θ is the angle of the sector in radian.
Calculation
Major sector angle + Minor sector angle = 360º
Major sector angle = 360º - 75º = 285º
Hence, Perimeter of a major sector of a circle = 2 × 12 + 12 × 285 × /180 = 24 + 19π metres