Question

HELP me with These questions

Answer 1

Answer: 13.96 in²

Explanation:

• radius (r)

d = 2r

16 = 2r

8 = r

• angle in radians (θ)

`(180)/(\pi) =(25)/(\theta)`

180(θ) = 25(π)

θ =
`(25)/(180)\pi`

θ =
`(5)/(36)\pi`

• Area (A)

A =
`(1)/(2)`r² θ

=
`(1)/(2)(8)^(2)((5)/(36)\pi)`

=
`(40)/(9)\pi`

= 13.96

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Answer: 12π

Explanation:

s = rθ

= 60
`((\pi )/(5))`

= 12π

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Answer: 22.440 cm²

Explanation:

A =
`(1)/(2)`r²θ

=
`(1)/(2)`(10)²
`(\frac{\pi} {7})`

=
`(50)/(7)\pi`

= 22.440

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Answer: 270°, 630°, -450°, -810°

Explanation:

positive: -90 + 360 = 270

270 + 360 = 630

negative: -90 - 360 = -450

-450 - 360 = -810

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

Explanation:

`\frac{19\pi} {4} - 2\pi`

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

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

`(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.