The circumference, C, of a given circle may be calculated through the equation,
C = 2πr
where r is the radius.
Substituting the known values from the given in this item,
C = 2(π)(5 in)
<em>C = 10π in</em>
Thus, the answer is this item is the second choice.
25 + 100i is correct because -5 squared is 25 and the the square root of -100 is 100i or 10i in its simplest form.
The closest distance up the tree where the wire reaches is 17.93 foot.
<u>Explanation:</u>
Given-
Length of the wire, L = 12 foot
angle, Ф= 48°
Distance upto which the wire reaches the tree, x = ?
We know,
cos Ф = base/ hypotenuse
cos 48° = 12/ x
0.669 = 12/x
x = 17.93 foot
Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.
