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.
![### Geometry: Measuring Minor Arcs
#### Problem 3:
Find the measure of the minor arc \( RT \).
Below the problem statement, there is an illustration of a circle. The circle contains the points \( R \), \( T \), and \( S \) positioned on its circumference. The figure displays several key features:
1. **Central Angle**:
- The angle \( \angle RST \) at point \( S \) measures \( 69^\circ \).
2. **Minor Arc**:
- The minor arc \( RT \) is associated with the angle \( \angle RST \).
To determine the measure of the minor arc \( RT \), observe that the measure of an arc corresponing to a central angle in a circle is equal to the measure of that angle. Thus, the measure of minor arc \( RT \) is \( 69^\circ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70379ec6-c51e-43ca-871d-f3a8cf6849c2%2F72c85bde-cfc9-4324-8d66-1105476afc47%2Fz6fyvl_processed.jpeg&w=3840&q=75)
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