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3 years ago

A radius of a circle is 14 cm and a chord has 18 cm. What is the distance between the center of the circle and the chord

Mathematics

1 answer:

ryzh [129]3 years ago

6 0

Answer: $10.72\ cm$

Step-by-step explanation:

Given

Radius of circle $r=14\ cm$

Length of chord is $l=18\ cm$

Suppose the distance between the chord and center is x

From figure, we can write

$\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm$

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Answer:

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Step-by-step explanation:

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this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

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using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

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$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

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Answer:

Step-by-step explanation:

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