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mars1129 [50]
3 years ago
10

What is the area of a sector with a central angle of π/3 radians and a radius of 12.4 m?

Mathematics
2 answers:
nadezda [96]3 years ago
8 0
80.15m^2 
is ur answer.<span />
skad [1K]3 years ago
6 0

Answer:

The area of the sector is 80.47 m².

Step-by-step explanation:

The area of a sector is

A=\pi r^2\times \frac{\theta}{360}

Where, r is radius and θ is central angle in degree.

The radius of the circle is 12.4 m.

Central angle is π/3 radians.

\theta=\frac{\pi}{3}\times \frac{180}{\pi}=60^{\circ}

The area of sector is

A=(3.14)\times (12.4)^2\times \frac{60}{360}

A=80.4677\approx 80.47

Therefore the area of the sector is 80.47 m².

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