A circle with centre (X, Y) and radius r has formula:
(x - X)² + (y - Y)² = r²
As the points (6, 3), (-5, 2) and (7, 2) are on the circle:
Subtracting (2) from (3) gives:
(7 - X)² - (-5 - X)² + (2 - Y)² - (2 - Y)² = r² - r²
→ 49 - 14X + X² - (25 +10X +X²) = 0
→ 49 - 25 -14X -10X +X² - X² = 0
→ 24 - 24X = 0
→ 24X = 24
→ X = 1
Substituting this into (1) and (2) gives:
Subtracting (1) from (2) now gives:
40 - 34 - 4Y - (-6Y) +Y² - Y² = r² - r²
→ 6 + 2Y = 0
↠2Y = -6
→ Y = -3
→ The equation of the circle is (x - 1)² + (y - -3)² = r² → (x - 1)² + (y + 3)² = r²
Using one of the points (6, 3), say, and substituting for x and y gives:
(6 - 1)² + (3 + 3)² = r²
→ 5² + 6² = r²
→ 25 + 36 = r²
→ r² = 61
The area of a circle is given by area = π × radius²
→ the area of the circle through those three points is π × 61 = 61π units² ≈ 191.64 units²
The diameter of a circle is the length of a line passing through the center of a circle that connects two points on the circumference. The circumference is the distance around the edge of a circle.
A chord is a straight line that spans the circumference of a circle and the diameter of a circle is a straight line in a circle spanning its circumference and passing through the circle's centre.
Circumference is the perimeter of a circle Diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circle
Points: (0, 0) and (3, 4) Using Pythagoras: distance fro (0, 0) to (3, 4) = 5 cm which is the radius Circumference: 2*pi*5 = 31.416 cm rounded to three decimal places Area: pi*5^2 = 78.540 square cm rounded to three decimal places
It works out that the centre of the circle is at (4, -3) on the Cartesian plane and its area is 56.549 square cm rounded up to three decimal places.
It has centre (0, 0) and radius 5.
In the case of a circle: Diameter: The distance through the circle - from one end to the other, passing through the center. Circumference: The distance around the circle.
The diameter of a circle is the length of a line passing through the center of a circle that connects two points on the circumference. The circumference is the distance around the edge of a circle.
The diameter of a circle is a straight line going from one point on the circumference (the boundary) of the circle, through the centre of the circle, to another point on the circumference.
A chord is a straight line that spans the circumference of a circle and the diameter of a circle is a straight line in a circle spanning its circumference and passing through the circle's centre.
Points: (0, 0) and (3, 4) Using Pythagoras: distance fro (0, 0) to (3, 4) = 5 cm which is the radius Circumference: 2*pi*5 = 31.416 cm rounded to three decimal places Area: pi*5^2 = 78.540 square cm rounded to three decimal places
Circumference is the perimeter of a circle Diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circle
360 degrees * * * * * That is a nonsensical answer. The diameter of a circle is a straight line segment, going from the circumference of the circle, through the centre, to the circumference on the other side.
Diameter is the length of a straight line passing through the center of a circle or sphere and connecting two points on the circumference of the circle or the surface of the sphere. Circumference is the length of the closed curve of a circle.
It works out that the centre of the circle is at (4, -3) on the Cartesian plane and its area is 56.549 square cm rounded up to three decimal places.
It works out that the circle's centre is at (3, -2) and its radius is 5 on the Cartesian plane.
the diameter oh whoops i thought the circumference was it... the circumference is the length around the circle