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pantera1 [17]
2 years ago
14

If the area of a circle is 121pi square units, what is its diameter

Mathematics
1 answer:
svetlana [45]2 years ago
4 0
The area of a circle is A = r^2pi
Since the area is equal to 121pi the equation would be, 121pi = r^2. To find r in terms of pi take the square root of 121, to find the radius. Then multiply that by two to get the diameter.
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Which of the following is an extraneous solution of sqrt 4x + 41 = x+5
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Step-by-step explanation:

\sqrt{4x+41}=x+5

on squaring both sides

4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0

either x-2=0  or  x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

\sqrt{4\times 2+41}=2+5

7=7 hence, it is not an extraneous solution

Putting x=-8 in original equation

\sqrt{4\times (-8)+41}=-8+5

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

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