Question
A rhombus has an area of 2,592 cm² and its diagonals are
in the ratio 5:3. A circle is drawn with the shorter diagonal of the rhombus as its diameter. Calculate the difference between the area of the circle and 75% of the rhombus’s area. (Take π = 3)Solution
ATQ,
Let diagonals = 5x and 3x
(1/2) × 5x × 3x = 7.5x²
2592 = 7.5x² → x² = 345.6 → x = √345.6 ≈ 18.59
Smaller diagonal = 3x ≈ 55.77 cm
Radius ≈ 27.89 cm
Area of circle ≈ 3 × (27.89)² ≈ 3 × 778.4 ≈ 2335.2 cm²
75% of rhombus = 0.75 × 2592 = 1944 cm²
Difference ≈ 2335.2 - 1944 = 391.2 cm²
The Doctrine of ‘Res Gestae’ has been incorporated in which of the following Section of the Evidence Act?
Every suit instituted, appeal preferred, and application made after the prescribed period shall be dismissed-
According to Section 31 of the Code on Wages, 2019, what percentage of the available surplus is allocated for bonus in the case of a banking company?
What powers does the Supreme Court have concerning the enforcement of rights conferred by Part III of the Constitution?
What does trademark protect?
Who among the following can exercise the right of 'Stoppage in Transit' of goods under the Sales of Goods Act, 1930?
Who can the High Court appoint to exercise jurisdiction in a Court of Session?
Section 53 of the Companies Act, 2013 does not allow issue of shares at a discount. Which of the following category of shares can be issued at a discoun...
Which of the following language is not mentioned in Eighth Schedule of the Constitution of India?
The corporate insolvency resolution process shall be completed _______________ from the date of admission of the application to initiate such process