Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.

Since this leg is half of the chord, the total chord length is 2 times that, or 8.718.

Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.

Since this leg is half of the chord, the total chord length is 2 times that, or 6.928.

Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.

Since this leg is half of the chord, the total chord length is 2 times that, or 13.416.

When two chords intersect inside of a circle, one can find the length of the chord for this particular problem by solving the below equation. 

Substitute the given information from the diagram. 

Now we add 10 to 40 to find the total length from A to B. 

AB=50. 

When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.

Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.

Multiply this by  to find the length of the entire chord.

Make sure to round to  places after the decimal.

When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.

Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.

Multiply this by  to find the length of the entire chord.

Make sure to round to  places after the decimal.

When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.

Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.

Multiply this by  to find the length of the entire chord.

Make sure to round to  places after the decimal.

When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.

Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.

Multiply this by  to find the length of the entire chord.

Make sure to round to  places after the decimal.

When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.

Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.

Multiply this by  to find the length of the entire chord.

Make sure to round to  places after the decimal.

When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.

Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.

Multiply this by  to find the length of the entire chord.

Make sure to round to  places after the decimal.