Circles
Tangents to Circles
Grade 11
Question:
<p>The circle 'S' touches the sides AB and AD of the rectangle ABCD and cuts the side DC at a single point F and the side BC at a single point E. If |AB| = 32, |AD| = 40 and |BE| = 1.</p><p><strong>The angle between pair of tangents drawn from the point D to the circle 'S' is:</strong></p>
<p>(a) \(π - \tan^{-1}\left(\frac{25}{8}\right)\)</p>
<p>(b) \(π - \tan^{-1}\left(\frac{15}{7}\right)\)</p>
<p>(c) \(π - \tan^{-1}\left(\frac{15}{8}\right)\)</p>
<p>(d) \(\frac{π}{2} - \tan^{-1}\left(\frac{5}{3}\right)\)</p>
Step-by-Step Solution
Key Concept: Use the formula for the angle between tangents from an external point to a circle.
<p>No solution provided in source material.</p>
Correct Answer: C