Q:

# In circle with a 12-inch radius , find the length of a segment joining the midpoint of 20-inch chord and the center of the circle

Accepted Solution

A:
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Find half the length of the chord (from midpoint to the end point touching the circumference)
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20 ÷ 2 = 10 inches

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Formula
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a² + b² = c²

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Find the length of the segment
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10² + b² = 12²
b² = 12² - 10²
b² = 144 - 100
b² = 44
b = √44
b = 6.63 inches

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Answer: The length of the segment is 6.63 inches
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