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  • 16-07-2022
  • Mathematics
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What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter​

What is the area of a sector when r 2 and 0 175 radians sq units Round your answer to the nearest tenth Enter class=

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Luv2Teach
Luv2Teach Luv2Teach
  • 16-07-2022

Answer:

Step-by-step explanation:

The area of a sector in terms of radians as opposed to degrees is

[tex]A=\frac{\theta}{2\pi }*\pi r^2[/tex]

Filling in the formula accordingly gives us

[tex]A=\frac{1.75rad}{2\pi rad}*\pi (2)^2[/tex]

The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with

A = 1.75(2) so

A = 3.5 units squared

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