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What is the arc length of CD in the circle below?

Option 1: 8.75 ft
Option 2: 11 ft
Option 3: 6.85 ft
Option 4: 9.2 ft

User Hoangfin
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1 Answer

2 votes

Final answer:

To determine the arc length of segment CD in a circle, one needs the circle's radius and the angle in degrees that the arc subtends at the center, neither of which are provided in the student's question. Without this information or further context from Figure 6.3, it's impossible to accurately calculate the arc length from the given answer options.

Step-by-step explanation:

The student is asking about the arc length of segment CD in a circle, which is a concept in mathematics specifically related to geometry. To calculate arc length, you need to know the radius of the circle (r) and the angle in either degrees or radians that the arc subtends at the center of the circle. The formula for arc length (As) when the central angle is measured in degrees is:

As = (Θ/360) * 2πr

where:

  • Θ is the central angle in degrees,
  • r is the radius of the circle,
  • π is approximately 3.14159.

Without the value of the central angle and the radius, we cannot determine the arc length from the given options. It is essential to have these values or additional context from Figure 6.3 as mentioned in the problem to accurately calculate the arc length.

User Mattjgalloway
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