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The circle has center 0. Its radius is 3 ft, and the central angle a measures 50% What is the area of the shaded region?
Give the exact answer in terms of 7, and be sure to include the correct unit in your answer.

The circle has center 0 Its radius is 3 ft and the central angle a measures 50 What is the area of the shaded region Give the exact answer in terms of 7 and be class=

Respuesta :

Answer:

1.25π

Step-by-step explanation:

Hello There!

The area of a sector can be found using this formula

[tex]A=\frac{0}{360} \pi r^{2}[/tex]

where 0 = angle and r = radius

so given the measures r = 3 and 0 = 50 all we have to do is plug in the values into the formula

so...

[tex]A=\frac{50}{360} \pi 3^{2} \\3^{2}=9 \\\frac{50}{360} 9=1.25[/tex]

so the area of the sector = 1.25π

Note: it says to leave your answer in terms of pi so we do not have to apply pi

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