How to mesure radius of an arc without knowing its center
Answers
Answer:
Step-by-step explanation:
Radius of an arc or segment
Definition: The radius of an arc or segment is the radius of the circle of which it is a part.
A formula is provided below for the radius given the width and height of the arc.
Try this Drag one of the orange dots to change the height or width of the arc. The calculated area is shown.
A window where the top is part of a circular arc
Circular arcs turn up frequently in the real world, such as the top of the window shown on the right. When constructing them, we frequently know the width and height of the arc and need to know the radius. This allows us to lay out the arc using a large compass.
To calculate the radius
Given an arc or segment with known width and height: Segment of a circle. A horizontal base line with an arc on the top. Its height is H and width of the base W The formula for the radius is:
H
2
+
W 2
8 H
where:
W is the length of the chord defining the base of the arc
H is the height measured at the midpoint of the arc's base.
Hope it helps you....