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
A) 60 Clown fish / 5 = 12 12 x 4 = 28 Angel fish B) 28 Angel fish / 4 = 12 12 x 3 = 36 Gold fish C) Add all fish 28 Angel fish + 36 Gold fish + 60 Clown fish = 124 Fish in total
The common denominator for 6 and 9 is the smallest number that they both go into, which is 18. We need to multiply 6 by 3 to get 18 and multiply 9 by 2 to get 18
