3 years ago

What is the best approximation of the length of the radius in a circle with an area of 16pi x in ^ 2 ?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

3 0

Answer:

4in = r

Step-by-step explanation:

Different problem if the x was a variable in the question

formula for area of circle = pi x r^2.

So if the area of a circle is 16 pi in^2, it would be an obvious estimate that the radius is the square root of 16 which is 4 inches.

If the x was a variable, you would find the square root of 16x which is $\sqrt{16x}$ which would make it 4 $\sqrt{x}$ as the radius.

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Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.

valentina_108 [34]

Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = $\frac{3*r*pi}{2*105}$

v = r* pi/70

If we take that r = 1 answer is $\pi /70$