a = 135° Central Angle = Arc measure = 135° Arc BC = 135°= minor arc Minor arcs are over 0° but less than 180° Minor arcs are writen using two letters 135° A В What do you see? What do you notice? Things to look for: - Move the slider so that the central angle is less than 180°. How many points is the arc named with and what kind of arc is it? -Move the slider so that the central angle is exactly 180°. How many points is the arc named with and what kind of arc is it? -Move the slider so that the central angle is greater than 180°. How many points is the arc named with and what kind of arc is it? - Click on point B and drag it to change the size of the circle? Does the measure of the central angle or the measure of the intercepted arc change when the circle changes size? I
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
What do you see? What do you notice?
Things to look for:
- Move the slider so that the central
-Move the slider so that the central angle is exactly 180°. How many points is the arc named with and what kind of arc is it?
-Move the slider so that the central angle is greater than 180°. How many points is the arc named with and what kind of arc is it?
- Click on point B and drag it to change the size of the
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