AC = 24cm, BC=10cm, and O is the center of the circle . find the area of the shaded region. (π = 3.14 )
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Solution :-
Finding the diameter of the circle at first:
AC=24cm, BC= 10 cm
So, AB= √AC²+BC² = √576+100 = √676 = 26cm
Therefore, the diameter of the circle is 26cm.
So,the radius is 13cm(r).
Now,finding the area of the semi-circle AOBC:
Area of semi-circle, A=(πr^2)/2 = 265.33 cm²
Now,finding the area of the right-angled triangle,ABC:
Area= ½ × base × height = 120cm²
Therefore, area of the shaded portion= Area of semi-circle AOBC - Area of triangle ABC= 265.33-120cm²= 145.33cm²
145.33 cm²
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@GauravSaxena01
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