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

  1. 4 p cm2

  2. 6 p cm2

  3. 8 p cm2

  4. 2 p cm2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For a 6-8-10 triangle, this is a right triangle (since 6²+8²=10²=100). The area is (1/2)×6×8=24 cm². The semiperimeter s=(6+8+10)/2=12 cm. The inradius r=Area/s=24/12=2 cm. The area of the inscribed circle is πr²=π(2)²=4π cm². Option A shows 4π cm².

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