Question
The perimeter of a sector of a circle, whose radius is
22 cm, is 64 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and its perimeter is 80 cm, then find the area (in cm2) of the rectangle.Solution
Let the arc subtended by the sector be ‘l’ cm and the radius of the circle be ‘r’ cm According to the question, (l + 2r) = 64 Or, l = 64 – 2r = 64 – (2 × 22) = 20 cm Therefore, length of the rectangle = 20 + 10 = 30 cm Let the breadth of the rectangle be ‘b’ cm Therefore, 2 × (30 + b) = 80 Or, b = 40 – 30 = 10 cm Therefore, area of the rectangle = length × breadth = 10 × 30 = 300 cm2
What is Sagittarius A*, recently it was in the news?
Sum of the present ages of A, B, C and D is 60 years. After 6 years ratio of their ages is 5:4:3:2. What is C’s present age?
Sagar Samrat' is the name of
If 25 people working 15 hours a day can complete 5 units of work in 8 days, how many days would be required by 12 persons to complete 10 units of work, ...
A can finish painting a sari in 11 days, B in 20 days and C in 55 days, if they work independently. In how many days can the work be completed if A is a...
Which of the following statements is/are correct in regards to Amrit kaal?
1.Nirmala Sitharaman presents ‘the first budget of Amrit Kaal’.
In case of gold, revenue is recognized in the accounting period in which the gold is
Which of the following is Incorrect regarding “Atal Pension Yojana”?
The revenues and expenses of a company are displayed in which statement?
Consider the following statements regarding Parliamentary Privileges:
1. The privileges are available to individual members as well as the House ...
Relevant for Exams:
