Question

Circumference of the circular clock
23.14 15 cm = 942 cm
the square
Exercise 113
If numerical value of the circumference and the area of the given circle are equal, then what is the diameter?
The perimeter of a square and a circle are equal. IF area of the circle is 1850 m, then what will be the area of
8. Af ratio of areas of two circles are 4 : 9. then what is the ratio of their circumference?
* The radius of a circular wheel is 1.75 m. How many revolutions will it make in travelling 11 km?
3. Circumference of two circles are respectively 85 m and 220 m. What is the difference in areas between two circles?
The
area of a circle is 38 5 sq. m. Find its curcumference (in cm)
Find the circumference of a semicircular shape on a line of length 10 cm
&. The length of minute hand on a wall clock is 7 cm Find the area swept by the minute hand in 30 minutes.
Find the number of rounds that a wheel of diameter m will make in going 4 km
VO A ware is in the form of a circle of radius 42 cm. If it is bent into a square find the side of the square
IL A copper wire when bent in the form of a square encloses an area of 121 cm If the same wire is bent in the
form of a circle, then find the area of the circle
n. The area of a circle is 13.86 hectares Find the cost of fencing it at the rate of 60 paise per metre
Find the arca of the ring between two concentric circles, whose circumferences are 88 cm and 132 cm
APPLICATIONS
We apply the formulae for the areas of a rectangle and a square to deal the problems related with finding the
areas of path built outside or inside around a square garden or rectangular park, to find the areas covered by the
roads when they are constructed parallel to the sides of a rectangular field, when width of each road is given
Perimeter and Area
319​

Answer 1

Correct option is B)

Let the radius of the circle ber.

∴ Area of Circle= πr

2

.

and the circumference=2πr

The perimeter of the square is equal to circumference of circle.

∴ Its one side =

4

1

×2πr=

2

πr

.

So Area of Square =(

2

πr

)

2

.

∴

AreaOfSquare

AreaOfcircle

=πr

2

:(

2

πr

)

2

=

π

4

=

22

4×7

=

11

14

>1.

So, Area of Circle > Area of Square