Question
A rhombus has an area of 1,800 cm², and its diagonals are
in the ratio 6:5. A circle is drawn using the smaller diagonal as its diameter. What is the difference between the area of the circle and 75% of the area of the rhombus? (Take π = 3)Solution
ATQ,
Let diagonals = 6x and 5x
Area = (1/2) × 6x × 5x = 15x²
1800 = 15x² → x² = 120 → x = √120 ≈ 10.95
Smaller diagonal = 5x ≈ 54.75 cm
Radius ≈ 27.375 cm
Area of circle ≈ 3 × (27.375)² ≈ 3 × 749.3 ≈ 2247.9 cm²
75% of rhombus = 0.75 × 1800 = 1350 cm²
Difference ≈ 2247.9 - 1350 = 897.9 cm²
(29.98% of 9840) + ? + (19.899% of 8490) = 7560
(84.92 + 235.17) ÷ (15.93 × 3.89) = ? ÷ 21.02
3.01√726 + 19.956% of 881.0954 + 25.08% of 2200.96 = ?
{(23.65 × 35.12) ÷ 6.97} + 179.86 = ? × 14.76
(31.9)3 + (34.021)² - (16.11)3 - (42.98)² = ?
120.982-√675×5+1422.20÷9.02=?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
(23.95)2 – (25.006)2 + (8.0099)2 – (7.07)2 = ? - (14.990)2
(7008.79)2/7009.201 × √1442.76 × 0.4897 =?
