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 ‘l’ cm and the radius of the circle be ‘r’ cm According to the question, (l + 2r) = 63 Or, l = 63 – 2r = 63 – (2 × 17) = 29 cm Therefore, length of the rectangle = 29 + 10 = 39 cm Let the breadth of the rectangle be ‘b’ cm Therefore, 2 × (39 + b) = 98 Or, b = 49 – 39 = 10 cm Therefore, area of the rectangle = length × breadth = 10 × 39 = 390 cm2
What is the maximum amount of equity grant provided per FPO under the scheme?
Under SMAM, what is the level of subsidy provided to farmers in North Eastern Region (NER) for the purchase of agricultural equipment?
Under PMFBY, the maximum insurance charges payable by farmer for annual commercial or horticultural crops is __% of SI or Actuarial rate, whichever is l...
Which of the following is eligible to enroll in the Pradhan Mantri Kisan Maan Dhan Yojana?
Which government initiative launched the eSARAS mobile App to support marketing of products made by women of Self-help Groups (SHGs)?
Which of the following scheme is not related to rural development?
Under the PMFME Scheme, what is the financial assistance provided for branding and marketing of products to FPOs, SHGs, and Cooperatives?
What is the repayment period for loans taken under the AHIDF?
Which of the following entities is responsible for implementing the Pradhan Mantri Kisan Maan Dhan Yojana?
National year of millets was/will be observed in the year
