Question

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The circle below has a center at point A and a radius of 4.5 cm.

Find the measurement of the line segments that you can determine. For anyone you cannot determine, explain your reasoning why.

Segment AB
Segment ED
Segment DF
Segment CA

Answer 1

Answer: Segment AB = 4.5cm, Segment ED = 9cm, Segment DF = cannot determine, Segment CA = 4.5cm

Explanation:

First, let us recall the definition of radius:

radius - a straight line from the center of the circumference of a circle or sphere.

This means that any segment from the center to the circumference is 4.5cm.

Therefore we can conclude the following:

• Segment AB = 4.5cm because the segment begins at the center to the circumference.
• Segment ED = 9cm because: ED = EA + AD (ED = 4.5cm+4.5cm)
• Segment DF = cannot determine because DF does not pass through center of circle.
• Segment CA = 4.5cm because segment starts at circumference to center of circle.