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2 years ago

The arc length of a circle of radius 4 is 6.9813. What is the central angle created by the arc? Round

Mathematics

1 answer:

gladu [14]2 years ago

3 0

The central angle is 2 radians.

Step-by-step explanation:

Arc length of circle = 6.9813

Radius of circle = 4

Central angle = ?

The formula used to find central angle is :

$s=r\theta$

where s= arc length, r = radius and Ф= central angle

We are given:

s= 6.9813 and r = 4 , finding central angle:

$s=r\theta\\6.9813=4*\theta\\\theta=\frac{6.9813}{4}\\\theta=1.7453 \,\,radians$

Rounding off to nearest whole number:

$theta=1.7453 \,\,radians\\theta=2 \,\,radians$

So, The central angle is 2 radians.

Keywords: Central angle of circle

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Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

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Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
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$72-63y+8y=17$
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Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
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Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

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Answer:
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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

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