CAT 2018 Geometry & Mensuration Question (Hard)

Question

From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area sq cm is removed. The perimeter of the leftover portion, in cm, is

Accepted Answer

Step 1 We are given - Area of rectangle ABCD 768 sq cm - A semicircle of area sq cm is removed, with diameter AB. We need to find the perimeter of the leftover portion. --- Step 2 First, find the diameter AB. Area of a semicircle 2 pi r 2 72 pi Thus r 2 144 Rightarrow r 12 Diameter cm Therefore AB 2

CAT 2018

Quantitative

Geometry & Mensuration

Hard

From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area $72\pi$ sq cm is removed. The perimeter of the leftover portion, in cm, is

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