Question

Any help would be greatly appreciated

Answer 1

Answer:

40/49

Step-by-step explanation:

probability that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle = ( area larger circle - area of smaller circle / area of larger circle )

area of a circle = πr² where r = radius

area of smaller circle :

radius = 6

==> plug in 6 for r

A = π(6)²

==> evaluate exponent

A = 36π

Area of larger circle :

Radius = 14

==> plug in 14 for r

A = π(14)²

==> evaluate exponent

A = 196π

We have probability = area larger circle - area of smaller circle / area of larger circle

area of larger circle = 196π

area of smaller circle = 36π

probability = (196π - 36π)/196π

==> subtract 36 from 196

probability = 160π/196π

==> simplify fraction and cancel out π

probability = 40/49