The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for **Free**) head out here: **CAT Official Question Mocks**. In CAT 2018 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: **CAT Question Bank**

Question 6 : From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. The perimeter of the leftover portion, in cm, is

- 88 + 12π
- 80 + 16π
- 86 + 8π
- 82 + 24π

Online Batches Available Now!

Given that ABCD be the rectangle of area of 768 sq cm. A semicircular part with diameter AB and area 72π sq cm is removed

From the area given we can find the radius r as

\\frac{πr^2}{2}) = 72π

r^{2} = 144

r = 12 cm

The diameter AB is 24 since r = 12

So we have a rectangle ABCD

AB × BC = 768

24 × BC = 768

BC = \\frac{768}{24})

BC = 32

Now we have to find the perimeter of the left over portion (shaded area)

Perimeter = AD + DC + BC + \\frac{1}{2}) perimeter of the circle

Perimeter = 32 + 24 + 32 + \\frac{2πr}{2}) (r = 12 cm)

Perimeter = 88 + 12π cm

The perimeter of the leftover portion, in cm, is 88 + 12π

The question is **"From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. The perimeter of the leftover portion, in cm, is"**

Choice A is the correct answer.

CAT 2021

Enroll at

44,000/-

Online Classroom Batches Starting Now!

Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

CAT^{®} (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.

2IIM Online CAT Coaching

A Fermat Education Initiative,

58/16, Indira Gandhi Street,

Kaveri Rangan Nagar, Saligramam, Chennai 600 093

**Phone:** (91) 44 4505 8484

**Mobile:** (91) 99626 48484 / 94459 38484

**WhatsApp:** WhatsApp Now

**Email: **info@2iim.com