Question
The ratio of the length of a rectangle, breadth of the
rectangle and the diameter of a circle is 10:9:7. If the area of the circle is 616 cm2 , then what is the difference between the circumference of the circle and the perimeter of the rectangle?Solution
Area of the circle = Οr2 616 = 22/7 Γ r2 r2 = 196 r = 14 cm (Since, radius cannot be negative) Radius of the circle = 14 cm Diameter of the circle = 2r = 28 cm Length of the rectangle = (28/7) Γ 10 = 40 cm Breadth of the rectangle = (28/7) Γ 9 = 36 cm Perimeter of the rectangle = 2 Γ (40 + 36) = 152 cm Circumference of the circle = 2 Γ (22/7) Γ 14 = 88 cm Required difference = 152 β 88 = 64 cm
300 is divided into two parts such that thrice of the first part and twice of the second part are in ratio 21:16, respectively. Find the difference betw...
Find 'X' if the below three numbers are in proportion.
2.6, 1.3, X
Rs.12000 was divided among A, B and C in the ratio 3:4:5. B kept Rs.1500 for himself, gave Rs.500 to his mother and divided the remaining money among hi...
The ratio of the pocket money of two persons βPβ and βQβ is 5:2, respectively. βPβ spends 60% of his pocket money while βQβ spends 25% o...
Rs. 8,100 was supposed to be distributed among 'X', 'Y', and 'Z' in the ratio of (1/3) : (1/4) : (1/6), respectively. However, due to an error, it was a...
The cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with weights in the ratio 1 : 3 : 4 : 6. if the loss i...
A total of 504 sweets were distributed among 'P', 'Q', and 'R' in the ratio of 8:7:6, respectively. Additionally, 36 cream rolls ...
If 35% of a certain number is equal to 3/4th of another number, what is the ratio between the numbers?
- Find the third proportion to 16 and 24.
P, Q and R together started a business. Two times the investment of P equals three times the investment of Q and the capital of Q is twice that of R. Fi...
