Recall that the perpendicular distance from the center of the circle to the chord will bisect the chord itself.

Thus, we can use the Pythagorean Theorem to find the length of the chord.

Rearrange the equation to solve for the length of half the chord.

Now, multiply this value by two to find the length of the entire chord.

Plug in the given radius and distance to find the length of the chord.

Recall that the perpendicular distance from the center of the circle to the chord will bisect the chord itself.

Thus, we can use the Pythagorean Theorem to find the length of the chord.

Rearrange the equation to solve for the length of half the chord.

Now, multiply this value by two to find the length of the entire chord.

Plug in the given radius and distance to find the length of the chord.

Make sure to round to two places after the decimal.

Recall that the perpendicular distance from the center of the circle to the chord will bisect the chord itself.

Thus, we can use the Pythagorean Theorem to find the length of the chord.

Rearrange the equation to solve for the length of half the chord.

Now, multiply this value by two to find the length of the entire chord.

Plug in the given radius and distance to find the length of the chord.

Make sure to round to two places after the decimal.

Recall that the perpendicular distance from the center of the circle to the chord will bisect the chord itself.

Thus, we can use the Pythagorean Theorem to find the length of the chord.

Rearrange the equation to solve for the length of half the chord.

Now, multiply this value by two to find the length of the entire chord.

Plug in the given radius and distance to find the length of the chord.

Make sure to round to two places after the decimal.

Recall that the perpendicular distance from the center of the circle to the chord will bisect the chord itself.

Thus, we can use the Pythagorean Theorem to find the length of the chord.

Rearrange the equation to solve for the length of half the chord.

Now, multiply this value by two to find the length of the entire chord.

Plug in the given radius and distance to find the length of the chord.

Make sure to round to two places after the decimal.

Recall that the perpendicular distance from the center of the circle to the chord will bisect the chord itself.

Thus, we can use the Pythagorean Theorem to find the length of the chord.

Rearrange the equation to solve for the length of half the chord.

Now, multiply this value by two to find the length of the entire chord.

Plug in the given radius and distance to find the length of the chord.

Recall that the perpendicular distance from the center of the circle to the chord will bisect the chord itself.

Thus, we can use the Pythagorean Theorem to find the length of the chord.

Rearrange the equation to solve for the length of half the chord.

Now, multiply this value by two to find the length of the entire chord.

Plug in the given radius and distance to find the length of the chord.

Make sure to round to two places after the decimal.

If two chords intersect inside a circle, they cut each other into segments such that the product of the lengths of the portions of one chord is equal to that of the lengths of the portions of the other chord. In other words, 

Set , and solve for :

.

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. From the figure, you should notice that the base of the triangle is also the chord of the circle.

Thus, you 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.

Next, find the area of the triangle.

Next, find the area of the circle.

Finally, find the area of the shaded region.

Two figures are congruent by definition if all of their corresponding sides are congruent and all of their corresponding angles are congruent.

By definition, a rhombus has four sides of equal length.  If we let  be the common sidelength of Rhombus  and  be the common sidelength of Rhombus , then, since , it follows that , so corresponding sides are congruent. However, no information is given about their angle measures. Therefore, it cannot be determined whether or not the two rhombuses are congruent.