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3 years ago

In a circle of radius 60 inches, a central angle of 35 will intersect the circle forming an arc of length _____.

Mathematics

1 answer:

11111nata11111 [884]3 years ago

6 0

Answer: 36.65 inches

Step-by-step explanation:

The length of arc with a central angle x and radius r in a circle is given by :-

$l=\frac{x}{360^{\circ}}\times2\pi r$

Given : Radius of a circle = 60 inches

Central angle = $35^{\circ}$

Now, the of length of arc is given by :-

$l=\frac{35^{\circ}}{360^{\circ}}\times2\pi(60)\\\\\Rightarrow\ l=(0.097222222222)2(3.14159265359)(60)=36.6519142918\approx36.65$

Hence, the length of arc = 36.65 inches.

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katrin2010 [14]

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Step-by-step explanation:

* Lets study the equation of the hyperbola

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(x - h)²/a² - (y - k)²/b² = 1

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- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is 2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

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∵ The foci are (h ± c , k)

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Step-by-step explanation:

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