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The endpoints of a diameter of a circle are (2, 4) and (-4, 7). What is the standard form of the equation of this circle? Enter
Question
The endpoints of a diameter of a circle are (2, 4) and (-4, 7).
What is the standard form of the equation of this circle?
Enter your answer by filling in the boxes. Enter any fractions in simplified form.
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Mathematics
4 years
2021-08-13T03:44:55+00:00
2021-08-13T03:44:55+00:00 1 Answers
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Answers ( )
Answer:
(x+1)²+(y-5.5)²=45/4.
Step-by-step explanation:
1) the common form of the required equation is: (x-a)²+(y-b)²=r², where ‘a’ and ‘b’ are the coordinates of the centre of the given circle, r – radius of the given circle.
2) the midpoint of the diameter is the centre of the given circle, its coordinates are:
3) the length of the radius of the given circle is:
4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle: