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Calculus & Trigonometry Grinshpan Area ratio1 A circular arc AB of radius 1 subtends an angle of θ radians. The tangent lines to the arc at points A and B meet at point C. Express the area S(θ) of the shaded circular segment in terms of θ. Express the area T (θ) of the triangle ABC in terms of θ. Find the limit of the area ratio as θ → 0. 1 Apostol, Calculus S(θ) T (θ)