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3 years ago

Write the equation in standard form for the circle with center (-7,5) and radius 8

Mathematics

1 answer:

Ivenika [448]3 years ago

6 0

Answer:

64 = (x+7)^2 + (y-5)^2

Step-by-step explanation:

Equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So the equation is: 64 = (x+7)^2 + (y-5)^2

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We need to find the rate of change of the area of the circle at that instant.

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Now we know that;

Area of the circle is given by π times square of the radius.

framing in equation form we get;

$A= \pi r^2$

to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.

$\frac{dA}{dt}=\frac{d(\pi r^2)}{dt}\\\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}$

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$\frac{dA}{dt}= 2\times \pi \times 12 \times -6.5\\\\\frac{dA}{dt}\approx -490.09 \ m^2/min$

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