Question
A rhombus has diagonals in the ratio 4:3 and an area of
2,400 cm². A circle is drawn using the smaller diagonal of the rhombus as its diameter. What is the difference between the area of this circle and 75% of the area of the rhombus? (Take π = 3)Solution
ATQ,
Let the diagonals be 4x and 3x.
Area = (1/2) × 4x × 3x = 6x²
2400 = 6x² → x² = 400 → x = 20
Smaller diagonal = 3x = 60 cm → diameter of circle = 60 cm
Radius = 30 cm → Area = 3 × 30² = 3 × 900 = 2700 cm²
75% of rhombus = 0.75 × 2400 = 1800 cm²
Difference = 2700 - 1800 = 900 cm²
More Circle Questions
15.99% of 549.99 ÷ 11.17 = ? ÷ 20.15
74.91% of 639.95 – 599.98% of 45 + 119.987 = ?
(4.88 × 5.76)2 - ?2 = 39.89 × 19.86
- 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.)
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exactvalue.)
(1800.23 ÷ 29.98) + (816.32 ÷ 23.9) + 1634.11 = ?
1449.98 ÷ 50.48 × 10.12 = ? × 2.16
36.05 × 5.02 + 12.052 = ? + 9.09 × 4.04
(31.9)3 + (34.021)² - (16.11)3 - (42.98)² = ?
