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11111nata11111 [884]
3 years ago
14

A circle has a diameter

Geography
1 answer:
torisob [31]3 years ago
4 0

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

c = 3.14 \times 6.4 = 20.096

Thus circumference of circle is 20.096 units

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