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What is the area of a circle that passes through the points of 1 0 and 7 -6 and 7 0 on the Cartesian plane showing work with answer?
Use formula: x^2 +2gx +y^2 +2fy +c = 0
Points: (1, 0) (7, -6) (7, 0) remember x is followed by y
Form 3 simultaneous equations in terms of g, y and c as follows:-
2g+0f+c = -1
14g-12f+c = -85
14g+0f+c = -49
Solving the simultaneous equations: g = -4, f = 3 and c = 7
So the above formula is now: x^2 -8x +y^2 +6y +7 = 0
Completing the squares: (x-4)^2 +(y+3) -16 -9 +7 = 0
Equation of circle: (x-4)^3 +(y+3)^2 = 18 which is the radius of the circle squared
Area of the circle: 18*pi square units
What else can I help you with?
What is the area of a circle that passes through the points of 6 4 and 5 9 and -10 6 on the Cartesian plane?
From the given information and using the appropriate formulae the area of the circle works out as 65*pi square units.
A secant tangent passes through the center of a circle?
Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.
What is a cord that passes through the center of a circle?
A cord that passes through the center of a circle is a diameter of that circle. And you've probably guessed that this is the largest cord of that circle.
What is a chord of a circle which passes through the center of the circle?
diameter
What is the straight line through the center of a circle called?
A line that goes through a circle is a secant line. (Remember that a line is infinitely long.) Anyline that passes through a circle is a secant line, whether it passes through the center of the circle or not. Compare this to a line segment with endpoints on the circumference of a circle. That segment is called a cord of that circle. If the cord of a circle passes through the center of that circle, it is a diameter of that circle, which is the longest cord of the circle.
Which circle passes through more continents Antarctic circle or arctc circle?
The Antarctic Circle only passes through Antarctica. The Arctic Circle passes through Asia, Europe and North America. The Arctic passes through 3 continents and the Antarctic only passes through Antarctica The Arctic Circle
What is the equation of a circle that passes through the points of 5 5 and 8 5 and 5 1 on the Cartesian plane showing work?
The points will form a right angle triangle in a circle whose hypotenuse is its diameterLength from (8, 5) to (5, 1) = 5Midpoint: (6.5, 3) which is the centre of the circleRadius: 2.5Equation of the circle: (x-6.5)^2+(y-3)^2 = 6.25
What is the area of a circle that passes through the points of 6 4 and 5 9 and -10 6 on the Cartesian plane?
From the given information and using the appropriate formulae the area of the circle works out as 65*pi square units.
A secant tangent passes through the center of a circle?
Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.
What is a segment that passes through the center of a circle and has both endpoints on the circle?
A diameter is a segment that passes through the center of a circle and has both endpoints on the circle.
What is the center and radius of a circle whose circumference passes through the points 5 0 and 3 4 and -5 0 on the Cartesian plane?
It has centre (0, 0) and radius 5.
What is a cord that passes through the center of a circle?
A cord that passes through the center of a circle is a diameter of that circle. And you've probably guessed that this is the largest cord of that circle.
Which circle passes through more continents Antarctica to Australia?
The Arctic Circle passes through more continents.
What are 3 continents that the Arctic Circle passes through?
The Arctic Circle passes through Asia, Europe and North America.
What is the name for a chord that passes through the center of a circle?
The chord that passes through the centre is the biggest chord in a circle and it is the diameter.
What circle passes through more continents Antarctic or Arctic?
The Antarctic Circle only passes through Antarctica. The Arctic Circle passes through North America, Europe, and Asia.Arctic, It passes through Asia, Europe, and North America.arciticArctic, it passes through North America, Europe, and Asia. The Antarctic only passes through Antarctica.Arctic-- The Antarctic Circle crosses land on Antarctica, plus a lot of ice and water.-- The Arctic Circle crosses land on North America, Europe, and Asia, plusa lot of ice and water.The Arctic Circle passes through more continents than does the Antarctic Circle. The Antarctic Circle only pass through one continent: Antarctica
What is a line that goes through a circle?
A line that goes through a circle is a secant line. (Remember that a line is infinitely long.) Anyline that passes through a circle is a secant line, whether it passes through the center of the circle or not. Compare this to a line segment with endpoints on the circumference of a circle. That segment is called a cord of that circle. If the cord of a circle passes through the center of that circle, it is a diameter of that circle, which is the longest cord of the circle.
