Question
The diagonals of a rhombus are in the ratio 7:5, and its
area is 3,500 cm². A circle is formed taking the smaller diagonal as the diameter. Find the difference between the area of the circle and three-fourths of the area of the rhombus. (Take π = 3)Solution
ATQ,
Let diagonals = 7x and 5x
Area = (1/2) × 7x × 5x = 17.5x²
3500 = 17.5x² → x² = 200 → x = √200 ≈ 14.14
Smaller diagonal = 5x ≈ 70.7 cm
Radius ≈ 35.35 cm
Area of circle ≈ 3 × (35.35)² ≈ 3 × 1249.7 ≈ 3749.1 cm²
75% of rhombus = 0.75 × 3500 = 2625 cm²
Difference ≈ 3749.1 - 2625 = 1124.1 cm²
Which one of the following materials is not diamagnetic at Standard Temperature and Pressure (STP)?
Match List-I (Railway Zone) with List-II (Headquarters) and select the correct answer using the code given below the lists:
List-I (Railway Zone)...
If the force of attraction between the earth and an apple separated by distance ‘x’ is ‘F’, then the force acting on the same apple kept at a di...
Consider the following statements:
1. The World Bank assigns the world’s economies to four income groups, low, lower-middle, upper-middle, and ...
The latest UN projections suggest that the world’s population could cross 9 billion by which year?
With reference to India and its relations with neighbours, which of the following statement/s is/are correct ?
Recently, where was the third edition of Joint Defence Cooperation Committee (JDCC) meeting between India and Kenya held?
Which one of the following is not a correct statement?
The full form of SIM is?
Consider the following statements:
(1) Third Schedule of the Indian Constitution talks about forms of oaths or affirmations.
(2) Provision...
Relevant for Exams:
