Question

Сторона ромба равна 50см,а одна из диагоналей-60см. Найдите радиус окружности,вписанной в ромб.

Answer 1

Через формулы площадей:

S=2ar

S=½d1*d2

По теореме пифагора половина второй диагонали равна 40, значит вся диагональ 80

S=½*60*80=2400см²

2400=2*a*r, a - это сторона ромба

 

 r=24

 

 

 

 

 

 

 

 

 

 

Answer 2

Calculating the Radius of the Inscribed Circle in a Rhombus

To find the radius of the circle inscribed in a rhombus, we can use the formula:

Radius of inscribed circle = (1/2) * (diagonal 1 + diagonal 2) / 2

Given: - Side of the rhombus = 50 cm - One of the diagonals = 60 cm

Calculation

Using the given values: - Side of the rhombus (s) = 50 cm - One of the diagonals (d1) = 60 cm

We can calculate the radius of the inscribed circle using the formula: Radius of inscribed circle = (1/2) * (diagonal 1 + diagonal 2) / 2

Substitute the values: Radius = (1/2) * (60 + 60) / 2 Radius = (1/2) * 120 / 2 Radius = 60 / 2 Radius = 30 cm

Answer

The radius of the circle inscribed in the rhombus is 30 cm.