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icang [17]
3 years ago
6

A circle with radius 3 has a sector with a central angle of 60°.

Mathematics
1 answer:
victus00 [196]3 years ago
3 0

Answer:

4.71

Step-by-step explanation:

The radius of the circle is 3 and the angle of the sector is 60°.

The area of a sector is given as:

A = \frac{\alpha }{360} * \pi r^2

where α = central angle of sector

r = radius of circle

Hence, the area of the sector is:

A = \frac{60}{360} * 3.14 * 3^2\\ \\A = \frac{1}{6} * 28.26\\\\A = 4.71

The area of the sector is 4.71

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