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2 years ago

How to find the circumference of a circle with a rectangle inside and a perpendicular line?

Mathematics

1 answer:

viktelen [127]2 years ago

6 0

Use the Pythagorean Theorem to find the diagonal of the rectangle.

The diagonal of the rectangle is the diameter of the circle.

Diameter (d) = 2 · radius (r)

Circumference (C) = 2· π · r → π · d

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2 years ago

A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo

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When an spherical balloon volume is increasing at the rate of $3ft^3/min$ then the diameter of the balloon is increasing $\frac{3}{2\pi }ft /min$

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In form of diameter we can write as

$v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3$

Now we will differentiate both sides wrt to $t$ we get

$\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft$

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thus when we substitute the values we get

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brainly.com/question/28046488

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1 year ago

Y = 5x + 1<br> 4x + y = 10<br> System of equations

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2 years ago

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