Question

HELP me with These questions

Answer 1

Answer: 13.96 in²

Step-by-step explanation:

• radius (r)

d = 2r

16 = 2r

8 = r

• angle in radians (θ)

$\frac{180}{\pi} =\frac{25}{\theta}$

180(θ) = 25(π)

      θ  = $\frac{25}{180}\pi$

      θ  = $\frac{5}{36}\pi$

• Area (A)

A = $\frac{1}{2}$r² θ

   = $\frac{1}{2}(8)^{2}(\frac{5}{36}\pi)$

   = $\frac{40}{9}\pi$

   = 13.96

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Answer: 12π

Step-by-step explanation:

s = rθ

  = 60$(\frac{\pi }{5})$

  = 12π

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Answer: 22.440 cm²

Step-by-step explanation:  

A = $\frac{1}{2}$r²θ

   = $\frac{1}{2}$(10)²$(\frac{\pi} {7})$

   = $\frac{50}{7}\pi$

   = 22.440

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Answer: 270°, 630°, -450°, -810°

Step-by-step explanation:  

positive:  -90 + 360 = 270

                                    270 + 360 = 630

negative: -90 - 360 = -450

                                   -450 - 360 = -810

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Answer: $\frac{3\pi} {4}$

Step-by-step explanation:  

  $\frac{19\pi} {4} - 2\pi$

= $\frac{19\pi} {4} - \frac{8\pi} {4}$

= $\frac{11\pi} {4}$

$\frac{11\pi}{4} - 2\pi$

= $\frac{11\pi} {4} - \frac{8\pi} {4}$

= $\frac{3\pi} {4}$

If you subtract another 2π, you will end up with a negative value.  The question asks for the smallest positive value.