area of the segment of the circle with radius r is_______.
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Step-by-step explanation:
Let the segment subtend an angle of x° at the centre of the circle.
Then area of the circle to be calculated, will be divided by x = (Area of the whole circle)/x
Now, area of the whole circle is πr^2 where r is the radius of the circle.
Therefore, area of a segment of the circle with radius r is (πr^2)/x, if x is the angle subtended by the segment at the centre of the circle.
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