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10.09.04 )Which of the following could be used to calculate the area of the sector in the circle shown above?

100904 Which Of The Following Could Be Used To Calculate The Area Of The Sector In The Circle Shown Above class=

Sagot :

The area of a sector in a circle is given by

[tex]A=\pi r^2(\frac{\theta}{360\degree})[/tex]

Where r is the radius or length of the sector and θ is the central angle in degrees.

For the given case, we have

r = 10 in

θ = 37°

Let us substitute these values into the above formula

[tex]A=\pi10^2(\frac{37}{360})[/tex]

As you can see, the correct answer is the 1st option.