SOLUTION: In a circle of radius 13 cm the length of its chord is 10 cm. Find the perpendicular distance of chord from the centre.

Algebra ->  Pythagorean-theorem -> SOLUTION: In a circle of radius 13 cm the length of its chord is 10 cm. Find the perpendicular distance of chord from the centre.      Log On


   



Question 876552: In a circle of radius 13 cm the length of its chord is 10 cm. Find the perpendicular
distance of chord from the centre.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Put the center of this circle on the origin of a cartesian coordinate system. Show this chord of 10 cm horizontally above the x-axis with the chord's endpoints on the circle. The x-coordinates are -5 and 5. Use the equation of the circle to determine the y value, which is the distance from the chord to the center of the circle.

x%5E2%2By%5E2=13%5E2