Chemical Engineering > GATE 2024 > Calculus
Let π‘Ÿ and πœƒ be the polar coordinates defined by π‘₯ = π‘Ÿ π‘π‘œπ‘  πœƒ and 𝑦 = π‘Ÿ 𝑠𝑖𝑛 πœƒ. The area of the cardioid π‘Ÿ = π‘Ž (1 βˆ’ π‘π‘œπ‘  πœƒ),0β‰€πœƒβ‰€2πœ‹, is
A
3Ο€a2/2
B
2Ο€a2/3
C
2Ο€a2
D
3Ο€a2

Correct : a

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polar coordinates area calculation cardioid area GATE Chemical Engineering 2024 chemical engineering gate polar to cartesian area cardioid GATE 2024 Chemical Engineering integration polar coordinates

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