Answer:
Looking at the graph, the radius of the Pantheon is
30
m
30m30, start text, m, end text. Let's find the area of the Pantheon, rounding our result to the nearest square meter.
area of the Pantheon
=
π
r
2
=
π
⋅
3
0
2
≈
2827
m
area of the Pantheon
=πr
2
=π⋅30
2
≈2827m
Hint #22 / 3
To determine the area of the Parthenon, we'll need to find its length and width. Let's use the distance formula to find the length from
(
−
15
,
−
45
)
(−15,−45)left parenthesis, minus, 15, comma, minus, 45, right parenthesis to
(
45
,
−
25
)
(45,−25)left parenthesis, 45, comma, minus, 25, right parenthesis.
l
=
(
Δ
x
)
2
+
(
Δ
y
)
2
=
(
45
−
(
−
15
)
)
2
+
(
−
25
−
(
−
45
)
)
2
=
(
60
)
2
+
(
20
)
2
=
3600
+
400
=
4000
l
=
(Δx)
2
+(Δy)
2
=
(45−(−15))
2
+(−25−(−45))
2
=
(60)
2
+(20)
2
=
3600+400
=
4000
We can use the distance formula to find the width of the Parthenon as well.
w
=
1000
w=
1000
w, equals, square root of, 1000, end square root
area of Parthenon
=
l
⋅
w
=
2000
m
2
area of Parthenon=l⋅w=2000m
2
start text, a, r, e, a, space, o, f, space, P, a, r, t, h, e, n, o, n, end text, equals, l, dot, w, equals, 2000, start text, m, end text, squared
Hint #33 / 3
The area of the Pantheon is
2827
m
2
2827m 2 2827, start text, m, end text, squared.
The area of the Parthenon is 2000m2
2000m 2
2000, start text, m, end text, squared.
Evan should win the debate.Explanation: