The perpendicular from O meets AB at P which is the midpoint of AB.
In the right angled triangle OAP, angle P is 90 deg,
OA = radius = 17 cm
and AP = 0.5*AB = 8 cm
So OP2 = OA2 - AP2 = 172 - 82 = 289 - 64 = 225
OP = 15 cm
Circle equation: x^2 +y^2 -2x -6y +5 = 0 Completing the squares: (x-1)^2 +(y-3)^2 = 5 Centre of circle: (1, 3) Tangent line meets the x-axis at: (0, 5) Distance from (0, 5) to (1, 3) = 5 units using the distance formula
The radius is the distance from the centre point to the edge.
It works out that the centre of the circle is at (-0.5, 1.5) and its diameter is the square root of 28
The centre is (a, a) and the radius is a*sqrt(2).
A circle, centre (0,0), radius = 5
Circle equation: x^2 +y^2 -2x -6y +5 = 0 Completing the squares: (x-1)^2 +(y-3)^2 = 5 Centre of circle: (1, 3) Tangent line meets the x-axis at: (0, 5) Distance from (0, 5) to (1, 3) = 5 units using the distance formula
The radius is the distance from the centre point to the edge.
It works out that the centre of the circle is at (-0.5, 1.5) and its diameter is the square root of 28
The centre is (a, a) and the radius is a*sqrt(2).
A circle, centre (0,0), radius = 5
Equation of a circle centre the origin is: x2 + y2 = radius2 ⇒ radius = √9 = 3.
Equation of circle: x^2 +y^2 -2x -6y +5 = 0 Completing the squares: (x-1)^2 +(y-3)^2 = 5 Center of circle: (1, 3) Tangent line from (3, 4) meets the x axis at: (5, 0) Distance from (5, 0) to (1, 3) = 5 using the distance formula
Centre = (0,0), the origin; radius = 11
Every circle has a point called the centre. A straight line drawn through the centre and extending both ways to intersect with the circle at opposite points is called the diameter. A straight line drawn from the centre to intersect with one point of the circle is called the radius. In this case, the length of that straight line is 12 inches.
The equation describes a circle with its centre at the origin and radius = √13. Each and every point on that circle is a solution.
5. A circle with centre (0,0) has equation: x2 + y2 = radius2 With: x2 + y2 = 25 = 52 The radius is 5.
A circle centre (0, 0) and radius r has equation x² + y² = r² The circle x² + y² = 36 has: r² = 36 → radius = 6