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:
--------------------------------------------------------------------------------- Find half the length of the chord (from midpoint to the end point touching the circumference) --------------------------------------------------------------------------------- 20 ÷ 2 = 10 inches
--------------------------------------------------------------------------------- Formula --------------------------------------------------------------------------------- a² + b² = c²
--------------------------------------------------------------------------------- Find the length of the segment --------------------------------------------------------------------------------- 10² + b² = 12² b² = 12² - 10² b² = 144 - 100 b² = 44 b = √44 b = 6.63 inches
--------------------------------------------------------------------------------- Answer: The length of the segment is 6.63 inches ---------------------------------------------------------------------------------