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Perimeter of sector = Arc length + 2 × Radius = 64/3 cm Central angle (θ) = 60° Let radius = r cm. Arc length (L): = 60°/360° × 2πr =1/6 × 2 × 22/7 × r=22r/21 Perimeter equation: 22r/21 + 2r = 64/3 Multiply by 21: 22r + 42r = 448 ⟹ 64r = 448 ⟹ r = 7 cm Area of sector: 60°/360° × πr2 =16 × 22/7 × 49 = 77/3 cm2
In a Mixture, the ratio of Milk and Water is 7: 5. If 12 litre mixture drawn off and replace by 8 litre water then the ratio of Milk and Water become 1...
A man sold one shirt and one t-shirt for Rs. 4000 on shirt he gained 21% and he lost 14% on t-shirt. If overall profit is 7%, then cost price of t-shirt is
A merchant has 1200 kg of sugar, part of which he sells at 9% profit and the rest at 15% profit. He gains 11% on the whole. The quantity (in kg) sold at...
In what ratio must a person mix three kinds of rice costing him Rs 1.16,Rs 1.40 and Rs 1.72 per Kg so that the mixture may be worth Rs 1.37 per Kg?
A rectangle with a length of 16 cm and breadth of 8 cm is rolled through its length to form a hollow cylinder. What will be the volume (in cm³) of the ...
The scores achieved by P and Q in an examination are in a ratio of 9:4 respectively. If Q scores an additional 11 points, then P's score will be approxi...
In what ratio coffee at 265 Rs/kg should be mixed with the coffee at 305 Rs/kg so that after mixture its rate become 280 Rs/kg if the quantity of 1st ty...
Cost of two types of pulses is Rs.25 and Rs, 30 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the pr...
How much groundnut powder at Rs. 90 a kg. should be added to 56 kg. of cashew powder at Rs.310 a kg. so that by selling the mixture for Rs. 280 a kg...
A car travel 20km/h for 30 min and at x km/h for 45 min. If the average speed of the car for entire journey is 14 km/h find the value of x.
