Question

Угол между диаметром PM и хордой РК равен 52 градуса. Найти градусную меру дуги PK.

Answer 1

 Угол МРК = 52 гр. По Т о вписанном угле:дуга МК= 2х52=104гр. Отсюда дуга РК равна 180-104=76гр.

Answer 2

Finding the Measure of Arc PK

To find the measure of arc PK, we can use the relationship between the central angle and the arc it intercepts. The measure of an arc is equal to the measure of its corresponding central angle.

Given that the angle between the diameter PM and the chord RK is 52 degrees, we can use this information to find the measure of arc PK.

Calculation

The measure of the central angle is equal to the angle between the diameter and the chord, which is 52 degrees. Therefore, the measure of arc PK is also 52 degrees.

So, the measure of arc PK is 52 degrees.