Answer: 13.96 in²
Step-by-step explanation:
d = 2r
16 = 2r
8 = r
[tex]\frac{180}{\pi} =\frac{25}{\theta}[/tex]
180(θ) = 25(π)
θ = [tex]\frac{25}{180}\pi[/tex]
θ = [tex]\frac{5}{36}\pi[/tex]
A = [tex]\frac{1}{2}[/tex]r² θ
= [tex]\frac{1}{2}(8)^{2}(\frac{5}{36}\pi)[/tex]
= [tex]\frac{40}{9}\pi[/tex]
= 13.96
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Answer: 12π
Step-by-step explanation:
s = rθ
= 60[tex](\frac{\pi }{5})[/tex]
= 12π
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Answer: 22.440 cm²
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex]r²θ
= [tex]\frac{1}{2}[/tex](10)²[tex](\frac{\pi} {7})[/tex]
= [tex]\frac{50}{7}\pi[/tex]
= 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: [tex]\frac{3\pi} {4}[/tex]
Step-by-step explanation:
[tex]\frac{19\pi} {4} - 2\pi[/tex]
= [tex]\frac{19\pi} {4} - \frac{8\pi} {4}[/tex]
= [tex]\frac{11\pi} {4}[/tex]
[tex]\frac{11\pi}{4} - 2\pi[/tex]
= [tex]\frac{11\pi} {4} - \frac{8\pi} {4}[/tex]
= [tex]\frac{3\pi} {4}[/tex]
If you subtract another 2π, you will end up with a negative value. The question asks for the smallest positive value.
