Ryank said:
The formula for finding the radius of a circle given two points and arc length is R = (L/2sin(θ)), where R is the radius, L is the arc length, and θ is the central angle in radians.
To find the central angle in radians, you can use the formula θ = L/R, where θ is the central angle, L is the arc length, and R is the radius. This formula can be derived from the arc length formula L = Rθ and converting degrees to radians.
Yes, it is possible to find the coordinates of the center of the circle using two points and arc length. By finding the radius and central angle, you can use the coordinates of the two points and the central angle to find the coordinates of the center using trigonometric functions.
The arc length directly affects the size of the circle when using two points and arc length. A larger arc length will result in a larger circle, while a smaller arc length will result in a smaller circle. This is because the arc length is directly proportional to the radius of the circle.
Yes, there are limitations to using only two points and arc length to define a circle. This method can only be used for circles where the two points lie on the circumference of the circle and the arc length is less than the circumference of the circle. It cannot be used for circles with a diameter greater than the distance between the two points.
