Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.