M4maths Previous Puzzles

24 Dec 2019 Mensuration

A circle of perimeter 132 cm and a square of perimeter 132 cm given. Which figure has larger area and by how much?

OPtion

1) Square, 277
2) Square, 287
3) Square, 297
4) Square, 307
5) Square, 267
6) Circle, 297
7) Circle, 287
8) Circle, 277
9) Circle, 307
10) None of these

Solution

Perimeter of square =132 cm
4 x side = 132, side = 33
Area of square = (33)^2 = 1089 cm2
Circumference of circle =132cm
2π(radius) = 132
radius = 66*7/22 = 21 cm

Area of circle = π (radius)2
=22/7 * 21 * 21 = 1386 cm2

Area of circle – Area of square = 1386 – 1089 = 297 cm2

Correct Option: 6 Best Solution (5)

S Shanmughapriya   4 years AGO

radius of circle=21
008cm
area of a circle=1386.557 square cm
length of the square=33cm
area of the sq=1089 square cm
area of circle >area of sq by 297cm

Like? Yes | No   

SAYAN CHATTERJEE   4 years AGO

2*3.14*r= 132; r= 21, area= 1385
4a= 132; a= 33, area= 33^2= 1089.
so, difference is (1385-1089)~297.
Option 6.

Like? Yes | No   

Varun   4 years AGO

Perimeter of circle = 2 pi r = 132
=> r = 66/pi
Area of circle= pi r_square
= pi * 66/pi * 66/pi
= 66*66/pi
= 1386.55 = 1386

Perimeter of square = 4 * side= 132
=> Side = 33
Or Area = Side square = 33^2 = 1089
1386 of circle > 1089 of square
=>Circle is larger by the are of 1386-1089 = 297
=> Circle, 297
= Option (6)

Like? Yes | No   

RAMADURAI NATESAN   4 years AGO

2 Pie R =132. R = 21. Pie R^ =1386 sq.cm

4l = 132. l = 33. l ^ = 1089 sq. cm

Hence area of circle is larger by 297 sq.cm

Like? Yes | No   

G.S.Kantharao   4 years AGO

2πr=132=>r=21
4s=132=>s=33
Area of circle=πr^2=22*21*21/7=1386sq.u
Square Area=s^2=33^2=1089
Area of circle is more by 297 sq.u
My option is 6👈

Like? Yes | No