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Round to one decimal place. you 3.4 for πFind the area of the sector

Round to one decimal place. you 3.4 for πFind the area of the sector-example-1

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We will determine the area as follows:


A=(3)/(4)\pi r^2\Rightarrow A=(3)/(4)(3.14)(3)^2
\Rightarrow A=21.195\Rightarrow A\approx21.2

So, the area of the sector is approximately 21.2 square units.

(The reason it is multiplied by 3/4 is that the normal area of a circumference is given by pir^2 [Whole circle], but since it is stated that the missing area has an angle of 90°, then the remainder of the circle [Area to find] is 3/4 of the original are).

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