Question
The perimeter of a sector of a circle, whose radius is
17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and its perimeter is 98 cm, then find the area (in cm2) of the rectangle.Solution
Let the arc subtended by the sector be βlβ cm and the radius of the circle be βrβ cm According to the question, (l + 2r) = 63 Or, l = 63 β 2r = 63 β (2 Γ 17) = 29 cm Therefore, length of the rectangle = 29 + 10 = 39 cm Let the breadth of the rectangle be βbβ cm Therefore, 2 Γ (39 + b) = 98 Or, b = 49 β 39 = 10 cm Therefore, area of the rectangle = length Γ breadth = 10 Γ 39 = 390 cm2
A can complete a task in 20 days, and B can complete it in 25 days. When B and C collaborate, they can finish the same task in 75/8 days. Now, if A and ...
- Two workers, A and B, can finish a task in 36 days and 48 days respectively, working alone. How many days will they take to complete the work together?
- If Arjun can complete his work in 28 days by working 4 hours a day, how many hours a day should he work to finish the same work in 16 days?
Ajay started a work and left working after 8 days. Vijay finished the remaining work in next 36 days. Had Ajay left the work after working for 12 days t...
'Amit' can finish a __ percentage of work in 4 days on his own. 'Bishnu' requires 4 days less than 'Amit' to complete the same task individually. Conseq...
"Bhanu" is 37.5% more productive than "Anurag," the two of them can finish the entire task in 40 days. Determine how long it took "Anurag" by himself to...
Ashish and Anil can do a piece of work in 12 days and 15 days respectively. Ashish completed 30% of the work. Find the time taken by Anil to complete th...
- A team of workers can finish a task in 36 days. However, 5 workers leave the task every day, and it gets done in 48 days. Find the time needed for 90 worke...
Rahul, Sameer, and Dinesh can complete a task in 24 days, 36 days, and 18 days, respectively. They started working together, but ...
A and B together can complete a piece of work in 35 days while A alone can complete 50% of the work in 20 days. Find the time taken by B to complete 12....