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Mathematics
Mathematics
Problem
In the xy-plane, the length of the shortest path from (0, 0) to (12, 16) that does not go inside the circle
(
x
−
6
)
2
+
(
y
−
8
)
2
=
25
(x - 6)^2 + (y - 8)^2 = 25
(
x
−
6
)
2
+
(
y
−
8
)
2
=
25
is (A)
10
3
10\sqrt{3}
10
3
(B)
10
5
10\sqrt{5}
10
5
(C)
10
3
+
5
π
3
10\sqrt{3} + \frac{5\pi}{3}
10
3
+
3
5
π
(D)
10
+
5
π
10 + 5\pi
10
+
5
π
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