drcular arc of a railroad curve has a chord of length 3300 feet corresponding to a central angle of 43°. (Round your answers to two decimal places.) (a) Draw a diagram that visually represents the situation. Show the known quantities on the diagram and use the variables r and s to represent the radius c respectively. (b) Find the radius r of the circular arc. 4502.05 X ft (c) Find the length s of the circular arc. 3,377.04
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.
![**Text Transcription for Educational Website:**
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The circular arc of a railroad curve has a chord of length 3300 feet corresponding to a central angle of 43°. (Round your answers to two decimal places.)
(a) Draw a diagram that visually represents the situation. Show the known quantities on the diagram and use the variables \( r \) and \( s \) to represent the radius of the circular arc and the length of the circular arc, respectively.
(b) Find the radius \( r \) of the circular arc.
\[ 4502.05 \text{ ft} \] ✗
(c) Find the length \( s \) of the circular arc.
\[ 3,377.04 \text{ ft} \] ✗
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**Explanation of Missing Diagram:**
Ideally, the diagram should illustrate a circle segment where:
- A chord of 3300 feet is marked.
- The central angle subtended by this chord is 43°.
- The circle is labeled with \( r \) to denote the radius.
- An arc \( s \) corresponding to the central angle should be shown.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb042d55e-05fc-4fc1-914f-165ed66887b4%2F6d5bfdc8-787a-405a-9022-081d73ff3e6c%2Fwf68cs_processed.jpeg&w=3840&q=75)
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