Question

Хорды AB BC CD равны радиус окружности с центром в точке О и диаметром AB периметр четырехугольника ABCD равен 60 см Найдите диаметр окружности

Answer 1

AB=BC=CD=r - радиус окружности;
AD= 2r - диаметр окружности;
3r+2r=5r - периметр четырехугольника;
5r=60
r=60/5=12 см - радиус;
12/2=24 см - диаметр.
Ответ: 24 см 

Answer 2

Problem Analysis

We are given that the lengths of the chords AB, BC, and CD are equal to the radius of a circle with center O. The perimeter of the quadrilateral ABCD is 60 cm. We need to find the diameter of the circle.

Solution

Let's denote the radius of the circle as r and the diameter as d. We can use the given information to set up equations and solve for d.

Since AB, BC, and CD are equal to the radius r, we have: AB = BC = CD = r