Math

An oblique triangle is inscribed in a circle. If one side of the triangle having a length of 10 cm and the angle subtended to that side is 20. Determine the area of the circle.

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  1. if you mean the angle is 20°, then the radius r of the circle can be found using'

    5/r = sin10°

    Now you know r, so you can find the area of the circle...

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  2. 10/d=sin(20)
    A=(pi(d)2)/4
    ans.A=671.4 sq. unit

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  3. The solutions above are wrong.
    sin A = opposite / hypotenuse

    We know the angle A = 20 and hypotenuse = 10 cm
    Therefore:

    Sin 20 = O/ 10
    O =3.42 cm

    Since circle is inscribed in the triangle, the opposite side is the diameter. D = 3.42 cm so it makes R = 1.71 cm

    Area of circle is pi * r²
    A = 9.18 cm²

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