The formula for the area of a sector of a circle is given by:
Area = (θ/360) x πr^2
Where:
θ = angle at the center in degrees
r = radius of the circle
Given:
θ = 120 degrees
r = 20 cm
π = 3.142
Substitute the values into the formula:
Area = (120/360) x 3.142 x 20^2
Area = (1/3) x 3.142 x 400
Area = (1/3) x 1256.8
Area = 418.93 cm^2
Therefore, the area of the sector is approximately 418.93 cm^2.
The arc of a circle of radius 20cm subtends an angle of 120 degree at the centre use the value 3.142 for pie to calculate the area of the sector correct the nearest cn2
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