# Two rhombuses have sides with lengths of #8 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/4 #, what is the difference between the areas of the rhombuses?

Area of the rhombus with angle

By signing up, you agree to our Terms of Service and Privacy Policy

To find the area of a rhombus, you can use the formula: Area = (diagonal1 * diagonal2) / 2.

Given that the sides of both rhombuses are 8 units long, the diagonals can be found using trigonometric relationships.

For the rhombus with an angle of π/12, the diagonals can be calculated as follows: Diagonal1 = 2 * side * sin(π/12) Diagonal2 = 2 * side * sin(π - π/12) = 2 * side * sin(11π/12)

For the rhombus with an angle of π/4, the diagonals can be calculated as follows: Diagonal1 = 2 * side * sin(π/4) Diagonal2 = 2 * side * sin(π - π/4) = 2 * side * sin(3π/4)

Once you have the diagonals for both rhombuses, plug them into the area formula to find the areas. Then, subtract the smaller area from the larger area to find the difference.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is a quadrilateral square?
- A parallelogram has sides with lengths of #14 # and #11 #. If the parallelogram's area is #84 #, what is the length of its longest diagonal?
- Two rhombuses have sides with lengths of #1 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/2 #, what is the difference between the areas of the rhombuses?
- My quadrilateral has congruent diagonals. What must it be?
- Prove that if midpoints of non-parallel sides of a trapezium are joined, this line is parallel to parallel sides of the trapezium?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7