Multiple choice

A triangle has sides of lengths 6 cm, 8 cm and 10 cm. The area of the circle inscribed in the triangle is एक त्रिभुज की भुजाएं 6 सेमी, 8 सेमी और 10 सेमी लंबी हैं। त्रिभुज में अन्तर्निहित वृत्त का क्षेत्रफल कितना होगा?

  1. 4π cm.2 / सेमी.2

  2. 6π cm.2 / सेमी.2

  3. 8π cm.2 / सेमी.2

  4. 2π cm.2 / सेमी.2
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A Correct answer
Explanation

The 6-8-10 triangle is a right triangle (3-4-5 scaled by 2). Inradius r = Area/semiperimeter for any triangle. Area = (6×8)/2 = 24 cm², semiperimeter = 12 cm, so r = 24/12 = 2 cm. Area of incircle = πr² = π(2)² = 4π cm².

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