A part of a circle bounded by an arc and a chord is..?
look up segment.
Or read this:
http://en.wikipedia.org/wiki/Circular_segment
To understand what a part of a circle bounded by an arc and a chord is, we first need to understand some key terms:
1. Circle: A circle is a perfectly round shape in which all points on the boundary are equidistant from the center point. It is defined by its radius, which is the distance from the center to any point on the circle.
2. Arc: An arc is a curved portion of the circumference of a circle. It is defined by its measure, which represents the degree or angle that it subtends at the center of the circle.
3. Chord: A chord is a line segment that connects any two points on the circumference of a circle. It is defined by its length.
Now, when we talk about a part of a circle bounded by an arc and a chord, we specifically refer to a section of the circle between the arc and the chord. This section is also known as a circular segment.
To determine the area of the circular segment, you need to know the following information:
1. The measure of the angle subtended by the arc at the center of the circle.
2. The length of the chord.
Using this information, you can apply the following formula to calculate the area of a circular segment:
Area = (θ/360) x π x r² - (1/2) x b x h
where:
- θ is the measure of the angle in degrees (the arc subtends at the center),
- r is the radius of the circle,
- b is the length of the chord,
- h is the perpendicular distance between the center of the circle and the chord (also known as the sagitta).
By substituting the given values into this formula, you can calculate the area of the circular segment bounded by the arc and the chord.