Can someone please help me Find the area of each shaded region. Round the answer to two decimal places. please show work

Question

asked Nov 12, 2024 232k views

1 Answer

Kind User · Answer 1 · 2024-11-17T19:08:32+0000

Answer:

7) S=6.28 yd A=12.57
yd^(2)

8) S=99.48 ft A=945.1
ft^(2)

9) S=21.99 in A=43.98
in^(2)

Explanation:

7)

S=r θ

S=4(
$(90\pi )/(180)$ )........................................plug in values

S=4(
$(\pi )/(2)$ )...........................................simplify

S=6.28 yd...................................solve and round

A=
(1)/(2) (
r^(2) ) θ

A=
(1)/(2) (
4^(2) )(
$(90\pi )/(180)$ ) ....................................plug in values

A=
(1)/(2) (16)(
$(\pi )/(2)$ ) .....................................simplify

A=12.57
yd^(2) ...................................solve and round.

8)

S=r θ

S=19(
$(300\pi )/(180)$ ).........................................plug in values

S=19(
$(5\pi )/(3)$ ).............................................simplify

S=99.48 ft........................................solve and round

A=
(1)/(2) (
r^(2) ) θ

A=
(1)/(2) (
19^(2) )(
$(300\pi )/(180)$ ) ....................................plug in values

A=
(1)/(2) (361)(
$(5\pi )/(3)$ ) .....................................simplify

A=945.1
ft^(2) .......................................solve and round.

9)

S=r θ

S=4(
$(315\pi )/(180)$ ) ............................................plug in values

S= 4(
$(7\pi )/(4)$ )..............................................simplify

S=21.99 in..........................................solve and round

A=
(1)/(2) (
r^(2) )θ

A=
(1)/(2) (
4^(2) )(
$(315\pi )/(180)$ ) ....................................plug in values

A=
(1)/(2) (16)(
$(7\pi )/(4)$ )......................................simplify

A=43.98
in^(2) ....................................solve and round.