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goblinko [34]
3 years ago
5

alex is building a circular base for a fountain. The radius of the circle is 4 ft. what is the area of the base ?

Mathematics
1 answer:
romanna [79]3 years ago
7 0
The area of a circle is measure by
A=pi(r)^2
So we would do
Area= pi(4)^
ANSWER
Area=16pi
Area is about=50.24 if using 3.14 as pi
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If AE=6x-55 and EC=3x-16, find DB. (Hint: Find x first and then substitute.)
erica [24]

<u>Given</u>:

Given that ABCD is a rectangle.

The diagonals of the rectangle are AC and DB.

The length of AE is (6x -55)

The length of EC is (3x - 16)

We need to determine the length of the diagonal DB.

<u>Value of x:</u>

The value of x can be determined by equating AE and EC

Thus, we have;

AE=EC

Substituting the values, we get;

6x-55=3x-16

3x-55=-16

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Thus, the value of x is 13.

<u>Length of AC:</u>

Length of AE = 6(13)-55=78-55=23

Length of EC = 3(13)-16=39-16=23

Thus, the length of AC can be determined by adding the lengths of AE and EC.

Thus, we have;

AC=AE+EC

AC=23+23

AC=46

Thus, the length of AC is 46.

<u>Length of DB:</u>

Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.

Hence, we have;

AC=DB

 46=DB

Thus, the length of DB is 46.

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