There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

A. 12 π cm
B. 16 π cm
C. 24 π cm
D. 32 π cm

Radius of larger circle

= 2×196−−−√=28cm

Circumference of smaller circle

= (37×28)cm=12cm

Circumference of smaller circle

= 2πr=2π×12= 24πcm

Related Mcqs:

The difference between the radi of the smaller circle and the bigger circle is 7cm and the difference between the area of two circles is 1078Sq.cm Radius of the smaller circle is_________?
A. 17.5cm
B. 21cm
C. 28cm
D. None of these
The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A. 140
B. 156
C. 175
D. 214
A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?
A. 160m × 27m
B. 240m × 18m
C. 120m × 36m
D. 135m × 32m
A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
A. (400 – 100π) cm^2</sup
B. (400 – 2π) cm^{2</sup

C. (400 – 200π) cm^{2</sup

D. 200π cm^2</sup}}
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
A. 4192 sq m
B. 4304 sq m
C. 4312 sq m
D. 4360 sq m
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
A. 18 : 5
B. 7 : 16
C. 5 : 14
D. None of these
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
A. 23.57 cm
B. 47.14 cm
C. 84.92 cm
D. 94.94 cm
The area of a circle is increased by 22Sq.cm when it’s radius is increased by 1cm. The original radius of the circle is_________?
A. 6cm
B. 3.2 cm
C. 3 cm
D. 3.5 cm
he perimeter of a circle and a square field are equal. What is the diameter of the circle field if the area of the square field is 484 sq.m?
A. 14m
B. 21m
C. 28m
D. None of these
The area of a circle is 24.64Sq.m. the circumference of circle is________?
A. 14.64cm
B. 16.36m
C. 17.60m
D. 18.40m