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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1954 AMC 12/AHSME
5
5
Part of
1954 AMC 12/AHSME
Problems
(1)
Inscribing a Hexagon in a Circle
Source:
2/6/2009
A regular hexagon is inscribed in a circle of radius
10
10
10
inches. Its area is:
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
150
3
sq. in.
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
150 sq. in.
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
25
3
sq. in.
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
600 sq. in.
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
300
3
sq. in.
<span class='latex-bold'>(A)</span>\ 150\sqrt{3} \text{ sq. in.} \qquad <span class='latex-bold'>(B)</span>\ \text{150 sq. in.} \qquad <span class='latex-bold'>(C)</span>\ 25\sqrt{3} \text{ sq. in.} \qquad <span class='latex-bold'>(D)</span>\ \text{600 sq. in.} \qquad <span class='latex-bold'>(E)</span>\ 300\sqrt{3} \text{ sq. in.}
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
150
3
sq. in.
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
150 sq. in.
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
25
3
sq. in.
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
600 sq. in.
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
300
3
sq. in.
geometry