What is the area of a sector with a central angle of 10π7 radians and a radius of 18.4 m? Use 3.14 for π and round your final answer to the nearest hundredth.

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pegasus33 pegasus33 · Answer 1 · 2019-04-04T16:50:54+02:00

Answer:

759.34

Step-by-step explanation:

1) due to the radian rules, pi is 180

2) add 180 to the equation: 10x180/7 = 257.143

3) pi x radius squared: 18.4 squared= 338.56 x pi = 1063.0784

4) 257.143 /360 = 0.714286 x 1063.0784= 759.34

5) 759.34

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boffeemadrid boffeemadrid · Answer 2 · 2022-03-04T12:04:04+01:00

The area of the sector is required.

The area of the sector of the circle is [tex]759.34\ \text{m}^2[/tex]

[tex]\theta[/tex] = Central angle = [tex]\dfrac{10\pi}{7}\ \text{rad}[/tex]

r = Radius = 18.4 m

Area of a sector of a circle is given by

[tex]A=\dfrac{\theta}{2}r^2\\\Rightarrow A=\dfrac{\dfrac{10\times 3.14}{7}}{2}\times 18.4^2\\\Rightarrow A=759.34\ \text{m}^2[/tex]

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