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Ulleksa [173]
3 years ago
15

# - A circle has an area of approximately

Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

The area of the new circle is 804.57 cm^2

Step-by-step explanation:

In this question, we are interested in calculating the area of the new circle of the radius of the old circle was doubled.

Let’s calculate the former radius first;

Mathematically;

Area of a circle = π * r^2

Thus;

201.06 = π * r^2

r^2 = 201.06/π

r^2 = 63.999

r = √63.99

r = 8 approximately

Now let’s double this radius and it becomes 2 * 8 = 16 cm

The new area will be ;

22/7 * 16 * 16 = 804.57 cm^2

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All the interior angles of a triangle always add up to 180 degrees.

3x + (2x + 20) + (4x - 20) = 180
3x + 2x + 20 + 4x - 20 = 180
3x + 2x + 4x + 20 - 20 = 180
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Step-by-step explanation:

a+3=−3

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Complete the following:
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3) The golden ratio number is approximately equal to 1.618

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2.What is the answer to this problem
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A parabola can be represented by the equation x2 = -20y.
aliya0001 [1]

Answer:

\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)

Step-by-step explanation:

Given the equation

x2 = -20y

A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.

4p\left(y-k\right)=\left(x-h\right)^2 is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.

so

x^2=-20y

\mathrm{Switch\:sides}

-20y=x^2

\mathrm{Factor\:}4

4\cdot \frac{-20}{4}y=x^2

4\left(-5\right)y=x^2

\mathrm{Rewrite\:as}

4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2

\left(h,\:k\right)=\left(0,\:0\right),\:p=-5

Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.

\left(0,\:0+p\right)

=\left(0,\:0+\left(-5\right)\right)

\mathrm{Refine}

\left(0,\:-5\right)

Therefore,

\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)

Please check the attached figure too.

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3 years ago
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