Question

The diameter of a circle is 25cm and a chord of the same circle is 16cm. To the nearest tenth, what is the distance from the chord to the center of the circle

Answer 1

• 9.6 cm

Explanation:

The segment from the center to the chord forms a right triangle with one leg as half the chord and hypotenuse as the radius.

Use Pythagorean to find the length of the missing leg d

• 
  `d^2=(25/2)^2-(16/2)^2`
• 
  `d^2=(12.5)^2-(8)^2`
• 
  `d^2=92.25`
• 
  `d=√(92.25) =9.6` cm (rounded)