Find the area of a minor segment of the circle x^2 + y^2 = a^2 cut *** by the line x = a/2 .

Question 1

Find the area of a minor segment of the circle x2 + y2 = a2 cut *** by the line x = a/2 .

Question 2

Solving the equation x2 + y2 = a2 and x = a/2, we obtain their points of intersection which are

Hence, from Fig. 8.9, we get

Required Area = 2 Area of OAB

= 2∫ (x→a/2,a) √(a2 - x2) dx

kratos · Answer 1 · 2020-01-15T22:09:10+0000

Solving the equation x2 + y2 = a2 and x = a/2, we obtain their points of intersection which are

Hence, from Fig. 8.9, we get

Required Area = 2 Area of OAB

= 2∫ (x→a/2,a) √(a2 - x2) dx

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