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sleet_krkn [62]
3 years ago
11

A circle has radius of 5cm and a circumference of 31.4. if the radius is doubled, what is the new circumference, in centimeters

Mathematics
1 answer:
pychu [463]3 years ago
7 0
Radius doubled = 10
 Diameter = 20
Circumference = 3.14×20
= 62.8 cm

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1. which Theorem explains why the circumcenter is equidistant from the vertices of a triangle?
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1- The circumcenter refers to the central point or focal point of the circle which experiences the three vertices of the triangle. Review that all radii of a circle are congruent, i.e. equivalent to each other. So this is the reason the circumcenter is equidistant from the vertices of the triangle. The perpendicular bisectors are used to form the circumcenter, so the concurrency of perpendicular bisector theorem  also explains.
2- The picture is not given.
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4- The coordinates of the circumcenter of ABC with the vertices A(0,0), B(3,0), and C(3,2) is (1.5,1) 
For the given triangle, vertex A lies on starting point; Vertex B lies on x-axis; and vertex C lies on hold parallel to y-axis. ==> AB along x-axis and BC opposite to AB. So the triangle ABC is a right triangle with its vertex B = 90 deg and AC has the hypotenuse. For a right triangle its circumcentre is the midpoint of hypotenuse. Consequently here the midpoint of AC = (1.5, 1), is the circumcenter of the triangle ABC.
4 0
3 years ago
Read 2 more answers
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