Question
Determine the diameter of the incircle of a triangle
whose area is 60 cm² and the semi-perimeter is 20 cm.Solution
ATQ,
Radius of in-circle = area of triangle / semi-perimeter = 60 / 20 = 3 cm Therefore, diameter of the in-circle = 2 × 3 = 6 cm
Rahul spends some part of his income and saves the remaining part. The ratio of his expenditure and saving is 3 : 4 respectively. If Rahul’s income i...
In a department 30% of the employees are females. 40% of the male employees know English. The total number of employees who know English is 46%. Find th...
- Seven cubes, each of edge 7 cm, are attached in a row to make a cuboid. Find its total surface area.
- Compute the diameter of the incircle of a triangle where the semi-perimeter is 30 cm and the area is 90 cm².
If the area of a circle is 154 cm², then the circumference of the circle is:
The ratio of length to breadth of a rectangle is 10:13. If the sum of the length and breadth of the rectangle is 92 cm, then find the area (cm2
A solid metallic cylinder of radius 5 cm and height 8 cm is melted and recast into 10 identical solid cones, each having radius 2 cm. What is the height...
- If the curved surface area of a cylindrical drum is 660 cm² and its height is 10 cm, then find the diameter of the drum.
If base of a prism is square of side 9 cm & height is 32 cm . What is the volume of prism?
A well with 42 m inside diameter is dug 14 m deep. Soil taken out of it has been evenly spread all around it to a width of 21 m to form an embankment. F...