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abruzzese [7]
3 years ago
9

Find the area of the smaller sector ​

Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Since the radius is 6 inches, the area is

A=\pi r^2=36\pi squared inches.

Now, the full circle is a sector given by a 360° angle. So, the area of a 140° angle will be proportionate:

140\div x = 360\div 36\pi

Solving for x, we have

x=\dfrac{36\pi\cdot 140}{360}=14\pi

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