Question

c is the centre and RS is a diameter of a circle. P is any points in the interior of the circle. write the type of angle RPS and explain with figure.

Answer 1

Answer:

The two cases given below

Step-by-step explanation:

Given that c is the center and RS is a diameter of a circle. P is any points in the interior of the circle. we have to tell the type of angle RPS.

Now, RS is the diameter of circle and P is any point inside the circle then

Case 1: If point lies on the circle then by theorem the angle formed on the semicircle is 90°. Hence, the angle ∠RPS is right-angled implies RPS is right angled triangle.

Case 2: If the point P lie inside the circle then the two sides come closer to third side which always results in increase in angle implies the angle form i.e ∠RPS is always greater than 90° i.e it is always obtuse.

By sine law also, we say that the above result is true.