A circle is inscribed in a triangle with sides measuring 4 cm 6 cm and 8 cm what is the area of the circle
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Given : A circle is inscribed in a triangle with sides measuring 4 cm 6 cm and 8 cm
To Find : what is the area of the circle
Solution:
sides measuring 4 cm 6 cm and 8 cm
s = (4 + 6 + 8)/2 = 9
Area of triangle = √9(9- 4)(9-6)(9-8)
= √9 * 5 * 3 * 1
= 3 √15
Area of triangle = s * r ( r is radius of inscribed circle )
=> 9r = 3 √15
=> r = √15 / 3
Area of circle = π r²
= π ( 15/ 9)
= 5 π/3
= 5.236 cm²
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