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
- What will come in place of the question mark (?) in the following series?
5, 15, 35, 75, 155, ? 21, 37, 73, 137, ?, 381
What value should come in the place of (?) in the following number series?
14, 43, 132, 401, 1210, ?, 10928
- What will come in place of the question mark (?) in the following series?
10, 17, 26, 37, 50, ? What will come in place of the question mark (?) in the following series?
1528, 1416, 1204, ?, 480, -32
What will come in place of the question mark (?) in the following series?
562, 56...
4, 4, 12, 60, ?, 3780
1, 7, 25, 61, ?
580 557 528 497 ? 419
What will come in place of the question mark (?) in the following series?
2, 5, 14, 41, 122, 365, ?
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