Question

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

Answer 1

2 square root 11

Explanation:

Answer 2

If we connect the center of the circle to the endpoint and midpoint of the chord, we form a right triangle with the hypotenuse equal to 12 inch, one of its sides is half of 20 inch and the other side unknown. Let x be this side,
x² + 10² = 12²
The value of x is approximately equal to 6.63 in.