Shown below is a sector of a circle with centre P. All lengths are measured in cm.What is the length of PE?A) 3 cmB) 3.5 cmC) 4 cmD) 4.5 cm

To find the length of $PE$ in the sector of a circle, we follow these steps:

1. Break Down the Problem

• Identify the key elements given in the sector, such as the radius and the lengths of the sides.
• Note that $PE$ represents the radius of the circle or part of it, depending on the provided information.

2. Relevant Concepts

• The length of a radius in a circle is constant and can usually be determined from the center of the circle to any point on the circumference.

3. Analysis and Detail

• Since there is no specific information about the sector or any provided lengths, we assume $P$ is the center and $E$ lies on the circumference.
• The answer choices suggest possible radius lengths.

4. Verify and Summarize

• Without additional context regarding the nature of the circle, such as the angle of the sector, we cannot derive $PE$ precisely.
• However, if $PE$ correlates to the typical radius, we would pick the most reasonable estimate based on common values.

Final Answer

• Based on the common lengths in geometry, the most typical radius choices are often around the values given. Without further context in the question, one might select either:
  • A) 3 cm
  • B) 3.5 cm
  • C) 4 cm
  • D) 4.5 cm
    If I must choose without additional data, I would suggest C) 4 cm as a common length for a sector's radius.