IPMAT Rohtak 2019 (QA) - What is the area of the shaded figure? Use the figure below to answer questions. | PYQs + Solutions | AfterBoards
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IPMAT Rohtak 2019 (QA) PYQs

IPMAT Rohtak 2019

Geometry
>
Circles

Easy

What is the area of the shaded figure? Use the figure below to answer questions.

Correct Option: 2
Area of Shaded region = (Area of the full circle) - 22 times the area of Circle M (Because Circle M and L are basically the same)
Diameter of Circle M = 1515 feet
Radius of Circle M = 7.57.5 feet
Area of Circle M = π(7.5)2=56.25π\pi(7.5)^2 = 56.25\pi square feet
Diamter of the full circle =15+15=30=15+15=30 feet, thus radius =15=15 feet
Area of the full circle =π(15)2=225π=\pi(15)^2=225\pi square feet
Area of Shaded region = 225π2(56.25π)=225π112.5π225\pi-2(56.25\pi)=225\pi-112.5\pi
Therefore, Area of shaded region is 112.5π112.5\pi square feet

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