Question

if a square inscribed in a circle . A point is selected inside the circle then what probability is the point lies in square​

Answer 1

Answer:

(i) If the circle has a radius of r, then the square will have a side of 2r.

Area of square = 4

r

2

Area of circle =

π

r

2

Probability that the point lies in circle =

π

r

2

4

r

2

=

π

4

(ii) If the circle has a radius of r, then the square will have a diagonal of 2r and side

√

2

r

Area of square = 2

r

2

Area of circle =

π

r

2

Probability that the point lies in square =

2

r

2

π

r

2

=

2

π

Answer 2

Answer:

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