Question

What is the probability that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle?

Enter your answer, as a fraction in simplest form, in the box.

Answer 1

the answer would be 40/49

Answer 2

P( that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle)= 40/49

Explanation:

we have to find the probability that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle.

Area of the whole figure= area of larger circle

= π×14×14 cm²

= 196π cm²

Area of the region inside the larger circle and outside the smaller circle

= area of larger circle- area of smaller circle

= π×14×14-π×6×6

= 160π cm²

P( that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle)

= area of the favorable region/area of whole figure

= 160π/196π

= 40/49