Question

centre of a circle is origin it's radius of 5 cm then a point which lies inside a circle​

Answer 1

Given: Centre of a circle is origin, radius = 5 cm

To find: A point which lies inside a circle

Solution:

• As we have given the centre which is at origin and the radius is at 5 cm, so the point of radius will be (5,0), (0,5), (0,-5) and (-5,0).

• So lets calculate the area:
• Area of circle is πr²

             = π x (5)²

             = 3.14 x (25)

             = 78.5 cm²

• Now lets find the distance between the point (0,5) and the origin:

              √(5-0)² + (0-0)²

               = 5 cm,

• So any point whose distance from origin is less than 5, that point lies inside the circle, else it lies outside the circle.

                eg: (2,1)

              √(2-0)² + (1-0)² = √5<5

• so (2,1) lies inside the circle.

Answer:

                   So (2,1) lies inside the circle.