Question

joining figure pqrs is a rectangle of length 36 and breadth 30 cm p u s and ptq quarter circle find total area of the shaded part of the figure ​

Answer 1

Area of shaded region =  644 cm²

Step-by-step explanation:

Area of Arc PQT   = (1/4) π 36²   = 324‬π   cm²

Area of Δ PQT = (1/2) * 36 * 36  = 648    cm²

Area of Arc SPU   = (1/4) π 30²   =225‬π   cm²

Area of Δ SPU = (1/2) * 30 * 30  = 450    cm²

UR = 36 - 30 = 6 cm = TR

Area of Δ UTR = (1/2) * 6 * 6  = 18 cm²

Area of shaded region = 324‬π  - 648  + 225‬π - 450 + 18

= 54‬9π  - 1080

using π = 3.14

≈ 644

Area of shaded region = 644 cm²

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