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3 years ago

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When we say that a planet has a highly eccentric orbit, we mean that (a) it is spiraling towards the Sun (b) its orbit is an ell

ipse with the Sun at one focus (c) in some parts of its orbit it is much closer to the Sun than in other

1 answer:

777dan777 [17]3 years ago

4 0

Answer:

(c) in some parts of its orbit it is much closer to the Sun than in other.

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The circumference of circle is 20.096 units

<em><u>Solution:</u></em>

Given that circle has a diameter with endpoints at (10, 8) and (5, 4)

To get the diameter, find the distance between the end points

<em><u>The distance between two points is given by formula;</u></em>

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here the points are (10, 8) and (5, 4)

$(x_1, y_1) = (10, 8)\\\\(x_2, y_2) = (5, 4)$

Substituting the values we get,

$\begin{aligned}&d=\sqrt{(5-10)^{2}+(4-8)^{2}}\\\\&d=\sqrt{(-5)^{2}+(-4)^{2}}=\sqrt{25+16}=\sqrt{41}\end{aligned}$

$d = \sqrt{41} = 6.4$

Thus the diameter is 6.4 units

<em><u>The circumference of the circle is given by formula:</u></em>

$c = \pi d$

Where "d" is the diameter of circle

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Thus circumference of circle is 20.096 units

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