Question

AB и BC - отрезки касательных, проведенных к окружности с центром O радиуса 10. Найдите периметр четырехугольника ABCO, если угол AOC равен 90°.Помогите пожалуйста !!

Answer 1

Если  т А и т С лежат на окружности, то см рис. Р=40

Answer 2

Perimeter of Quadrilateral ABCO

To find the perimeter of quadrilateral ABCO, we need to determine the lengths of the line segments AB, BC, and OC.

Given that AB and BC are tangents to a circle with center O and radius 10, we can use the properties of tangents to find their lengths.

Let's break down the problem step by step:

1. Determine the length of AB: - AB is a tangent to the circle with center O and radius 10. - By the tangent-chord theorem, the length of AB is equal to the radius of the circle, which is 10.

2. Determine the length of BC: - BC is also a tangent to the circle with center O and radius 10. - By the tangent-chord theorem, the length of BC is equal to the radius of the circle, which is 10.

3. Determine the length of OC: - OC is a radius of the circle with center O and radius 10. - The length of OC is equal to the radius of the circle, which is 10.

4. Calculate the perimeter of quadrilateral ABCO: - The perimeter of a quadrilateral is the sum of the lengths of its sides. - In this case, the perimeter of ABCO is equal to the sum of AB, BC, and OC.

Therefore, the perimeter of quadrilateral ABCO is 10 + 10 + 10 = 30.

Please let me know if you need any further assistance!