What is the formula for area of a quarter circle

Mathematics

1 answer:

GuDViN [60]3 years ago

3 0

Answer:

πr²/4

Step-by-step explanation:

Area of a circle if πr²

so Area of a quarter of a circle (or 1/4 of a circle) = πr²÷4

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julia-pushkina [17]

First solve for the trig function 'cot'
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Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
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$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

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I am Lyosha [343]

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In this case, we have f(x) = -x^2 + 3x + 5, and the associated coefficients are a = -1, b = 3 and c = 5. The axis of symmetry is x = -b/[2a].

Here, the equation of the axis of symmetry is x = -3/[2*-1), or x = 3/2.

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Thus, the vertex, representing a maximum, is (3/2, 29/4).

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Step-by-step explanation: