A circle has a sector with area 64/5 pi

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

The area of the circle is $16\pi\ units^2$

Step-by-step explanation:

we know that

The area of complete circle subtends a central angle of 2pi radians

using proportion

Find the area of the circle

$\frac{(64\pi/5)}{(8\pi/5)}= \frac{x}{2\pi}\\\\x=2\pi(64)/8\\\\x=16\pi\ units^2$

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