Subjects geometry

Concentric Circles Aa87Ad

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Concentric Circles Aa87Ad


1. **Problem Statement:** Draw two concentric circles and a chord to the outer circle that is also tangent to the inner circle. 2. **Understanding the Problem:** - Concentric circles share the same center but have different radii. - A chord is a line segment with both endpoints on the circle. - A tangent to a circle touches the circle at exactly one point. 3. **Steps to Draw:** - Draw two circles with the same center O, one smaller (inner) and one larger (outer). - Choose a point T on the outer circle such that the line segment passing through T is tangent to the inner circle. - Draw a chord AB on the outer circle passing through T, ensuring that AB touches the inner circle at exactly one point (T). 4. **Explanation:** - Since the chord AB passes through T on the outer circle and is tangent to the inner circle at T, it means T is the point of tangency. - The chord AB intersects the outer circle at points A and B. 5. **Summary:** - Two concentric circles with center O. - Chord AB on the outer circle. - Point T on AB is the tangent point to the inner circle. This completes the construction and explanation of the problem.