Two concentric circles have radii of 24cm and 26cm. What is the length of the chord that is tangent to the inner circle?

I don't understand the tangent, like where do I draw the line?

http://www.google.com/#q=tangent+circle

Note

the tangent is perpendicular to the radius where it hits the circle.

To find the length of the chord that is tangent to the inner circle, you will need to draw the tangent line from the point where the two circles touch each other. Here's a step-by-step guide:

Step 1: Start by drawing two concentric circles, one with a radius of 24cm (the inner circle) and another with a radius of 26cm (the outer circle).

Step 2: Identify the point where the two circles touch each other. This point lies on the circumference of the inner circle.

Step 3: Draw a line segment from the center of the inner circle to the point where the two circles touch each other. This line segment is perpendicular to the tangent line.

Step 4: Now, draw the tangent line from the point where the two circles touch the inner circle. This line should only touch the inner circle at that point and should be perpendicular to the line segment you drew in step 3.

Step 5: The length of the chord that is tangent to the inner circle is the portion of the tangent line that lies between the two points where it intersects the outer circle.

Step 6: To find the length of this chord, you can use the Pythagorean theorem. The line segment you drew in step 3, the perpendicular from the center to the point of tangency, forms the hypotenuse of a right triangle with the radius of the inner circle (24cm) and half of the chord as the other two sides.

Step 7: The length of half of the chord is the base of the right triangle formed in step 6. To find it, you can subtract the radius of the inner circle (24cm) from the radius of the outer circle (26cm) and divide the result by 2.

Step 8: Finally, you can find the length of the chord by multiplying the length of half of the chord by 2.

I hope this clarifies how to draw the tangent line and find the length of the chord.

To understand where to draw the line, let's consider the definition of a tangent in the context of circles. In geometry, a tangent is a line that touches a circle at exactly one point, without crossing through it.

In this case, we have two concentric circles, which means they share the same center. The inner circle has a radius of 24 cm, while the outer circle has a radius of 26 cm. To find the length of the chord that is tangent to the inner circle, we need to draw a tangent line from a point on the outer circle such that it touches the inner circle.

To draw the tangent line, follow these steps:
1. Draw the two concentric circles.
2. Take a point on the outer circle and draw a line segment connecting it to the center of the circles.
3. Extend this line segment beyond the point of intersection with the inner circle.

The extended line segment will be the tangent line. It will touch the inner circle at a single point and not intersect it.

Now, to find the length of the tangent chord, we can use the properties of right triangles formed by the tangent line and the radius of the inner circle.

Let's label the length of the tangent chord as "x" and the point of tangency on the inner circle as "T".

From the center of the circles to the point of tangency (T), we have a radius of 24 cm. From the center to the point where the tangent line meets the outer circle (point A), we have a radius of 26 cm.

Using the Pythagorean theorem, we can establish the following equation:
24^2 + x^2 = 26^2

Now, let's solve for "x" to find the length of the tangent chord.