Question

Сторона ромба равна 4 см ,острый угол 45 . Найдите площадь вписанного в него угла

Answer 1

S=a в квадрате *sin45
S=8√2

Answer 2

Finding the Area of the Inscribed Angle in a Rhombus

To find the area of the inscribed angle in a rhombus, we need to know the side length of the rhombus and the measure of the acute angle.

Given: - Side length of the rhombus = 4 cm - Measure of the acute angle = 45 degrees

To find the area of the inscribed angle, we can use the formula:

Area = (1/2) * (side length)^2 * sin(angle)

Substituting the given values into the formula, we have:

Area = (1/2) * (4 cm)^2 * sin(45 degrees)

Calculating this expression, we get:

Area = (1/2) * (16 cm^2) * 0.7071

Simplifying further, we have:

Area ≈ 5.6569 cm^2

Therefore, the approximate area of the inscribed angle in the rhombus is 5.6569 square centimeters.

Please note that the above calculation assumes that the inscribed angle is referring to the angle formed by the intersection of the diagonals in the rhombus. If you are referring to a different type of inscribed angle, please provide more specific information so that I can assist you accordingly.

Let me know if there's anything else I can help you with!