Circles
Circle Properties
Grade 11
Question:
<p>In an acute triangle ABC, point H is the intersection point of altitude CE to AB and altitude BD to AC. A circle with DE as its diameter intersects AB and AC at points F and G respectively. If BC = 25, BD = 20 and BE = 7.</p><p><strong>Area of the circle S is:</strong></p>
<p>(a) 100π</p>
<p>(b) 196π</p>
<p>(c) \(\frac{225π}{4}\)</p>
<p>(d) 400π</p>
Step-by-Step Solution
Key Concept: Find the diameter DE using properties of the configuration, then calculate the circle's area.
<p>No solution provided in source material.</p>
Correct Answer: C