Question

Can someone help me with this

please show work

Answer 1

There's multiple answers..

Answer 2

1) S=31.68 yd A=174.23
`yd^(2)`

2) S=36.65 in A=256.56
`in^(2)`

3) S=8.9 ft A=13.35
`ft^(2)`

4)S=17.28 in. A=51.84
`in^(2)`

5)S=25.31 yd. A=126.54
`yd^(2)`

6)S=3.4ft A=5.11
`ft^(2)`

Explanation:

Notes:

360 was divided by 1/2, making the denominator 180. This is why there is a 1/2 at the front.

You also do not need to simplify if you're using a calculator.

A=
`(1)/(2)`(
`r^(2)`) θ

- r is the radius

- θ is
`(angle\pi )/(180)`

S= r θ

-r is the radius

- θ is
`(angle\pi )/(180)`

1)

S=r θ

S=11(
`(165\pi )/(180)`)........................................plug in values

S=11(
`(11\pi )/(12)`).........................................simplify

S=31.68 yd....................................solve and round

A=
`(1)/(2)`(
`r^(2)`) θ

A=
`(1)/(2)`(
`11^(2)`)
`(165\pi )/(180)`....................................plug in values

A= =
`(1)/(2)`(
`121`)
`(11\pi )/(12)`....................................simplify

A=174.23
`yd^(2)`.....................................solve and round.

2)

S=r θ

S=14(
`(150\pi )/(180)`)...........................................plug in values

S= =14(
`(5\pi )/(6)`).........................................simplify

S=36.65 in........................................solve and round

A=
`(1)/(2)`(
`r^(2)`) θ

A=
`(1)/(2)`(
`14^(2)`)
`(150\pi )/(180)`......................................plug in values

A= =
`(1)/(2)`(
`196`)
`(5\pi )/(6)`......................................simplify

A=256.56
`in^(2)`....................................solve and round.

3)

S=r θ

S=3(
`(170\pi )/(180)`).........................................plug in values

S= 3(
`(17\pi )/(18)`).......................................simplify

S=8.9 ft..........................................solve and round

A=
`(1)/(2)`(
`r^(2)`) θ

A=
`(1)/(2)`(
`3^(2)`)
`(170\pi )/(180)`........................................plug in values

A= =
`(1)/(2)`(
`9`)
`(17\pi )/(18)`.......................................simplify

A=13.35
`ft^(2)`........................................solve and round.

4)

S=r θ

S=6(
`(165\pi )/(180)`).......................................plug in values

S=6(
`(11\pi )/(12)`).......................................simplify

S=17.28 in....................................solve and round

A=
`(1)/(2)`(
`r^(2)`) θ

A=
`(1)/(2)`(
`6^(2)`)
`(165\pi )/(180)`.....................................plug in values

A= =
`(1)/(2)`(
`36`)
`(11\pi )/(12)`..................................simplify

A=51.84
`in^(2)`.....................................solve and round.

5)

S=r θ

S=10(
`(145\pi )/(180)`).........................................plug in values

S=10(
`(29\pi )/(36)`).........................................simplify

S=25.31 yd.......................................solve and round

A=
`(1)/(2)`(
`r^(2)`) θ

A=
`(1)/(2)`(
`10^(2)`)
`(145\pi )/(180)`.......................................plug in values

A= =
`(1)/(2)`(
`100`)
`(29\pi )/(36)`....................................simplify

A=126.54
`yd^(2)`.....................................solve and round.

6)

S=r θ

S=3(
`(65\pi )/(180)`)..........................................plug in values

S= 3(
`(13\pi )/(36)`).......................................simplify

S=3.4ft............................................solve and round

A=
`(1)/(2)`(
`r^(2)`) θ

A=
`(1)/(2)`(
`3^(2)`)
`(65\pi )/(180)`.......................................plug in values

A= =
`(1)/(2)`(
`9`)
`(13\pi )/(36)`......................................simplify

A=5.11
`ft^(2)`.........................................solve and round.