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2 years ago

What is the area of a circle with a radius of 12 feet?

Mathematics

2 answers:

kvasek [131]2 years ago

5 0

Answer:

144π ft² or approximately 452.16 ft²

Step-by-step explanation:

The area of a circle is $\pi r^2$ , where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.

Approximation of Pi:

$3.14 *12^2$
$3.14*144$
$452.16$
452.16 ft²

In terms of Pi:

$\pi *12^2$
$\pi *144$
$144\pi$
144π ft²

Margarita [4]2 years ago

3 0

Answer:

$144 \times \pi = 452.38$

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Answer:

$210

Step-by-step explanation:

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Read 2 more answers

A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an

slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Horizontal distance from the start line, measured in meters.

$y$ - Height of the long jumper, measured in meters.

$a$ , $b$ , $c$ - Polynomial constants, measured in $\frac{1}{m}$ , dimensionless and meters, respectively.

If we know that $(x_{1},y_{1}) = (3\,m, 0\,m)$ , $(x_{2},y_{2}) = (8\,m, 0.05\,m)$ and $(x_{3}, y_{3}) = (9\,m, 0\,m)$ , this system of linear equations is presented below:

$9\cdot a + 3\cdot b + c = 0$ (Eq. 1)

$81\cdot a + 9\cdot b + c = 0$ (Eq. 2)

$64\cdot a + 8\cdot b + c = 0.05$ (Eq. 3)

The coefficients of the polynomial are, respectively:

$a = -\frac{1}{100}$ , $b = \frac{3}{25}$ , $c = -\frac{27}{100}$

The equation of the parabola that models the path of the long jumper through the air is $y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}$ .