Question

what is the area of the sector whose diameter is 40 mm and angle is 120°​

Answer 1

Step-by-step explanation:

Diameter = 40 mm

Therefore, Radius = 40/2 = 20 mm

Angle Subtended = 120° = 120×π/180©

= 2π/3 radians

So, Area of Sector = 1/2.r².∅

= 1/2.(20)².2π/3 = 400/2.2π/3 = 400π/3 mm²