Question

The diagram shows a sector of a circle, radius 45 cm, with angle 84º.
45 cm
840
Diagram NOT
accurately drawn
Calculate the area of the sector.
Give your answer correct to 3 significant figures.

Answer 1

Answer:

area of sector=84°/360°×π×45²=1485cm²

Answer 2

The area of the sector to 3 significant figure is 1480cm²

Area of a sector.

The formula for calculating the area of a sector is expressed as

A= r²β/2

where;

r is the radius. = 45cm

β is the central angle =84 degrees

Substitute

A = (45)²(84π)/360
A = 1483.65cm²

Hence the area of the sector to 3 significant figure is 1480cm²

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