Find the area of the region enclosed by one loop of the curve. r = 4 cos (3θ). Solution: Given, r = 4 cos (3θ) When, r = 0 ⇒ 4 cos (3θ) = 0 ⇒ cos (3θ) = 0 ⇒ 3θ = π/2 + nπ ⇒ θ = π/6 + nπ/3 Thus
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The formula we use to find the area inside the polar curve. When we need to find the area bounded by a single loop of the polar curve, we’ll use the same formula we used to
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