2 years ago

A circle with area 9 pi, has sector with central angle of 17/9 pi radians

Mathematics

1 answer:

mr_godi [17]2 years ago

3 0

Answer:

The area of the sector is 17/2 π

Step-by-step explanation:

pi = π

To solve this problem we first have to find the fraction that corresponds to this angle of the total, for this we must divide the angle that they give us by 2π radians, since that is the angle of a circle

(17π/9 rad) / (2π rad) = 17/18

Now we multiply the area of the circle by this fraction and we will obtain the area of the sector that we want

9π * 17/18 = 17/2 π

The area of the sector is 17/2 π

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