Question

a dart is thrown randomly and hits dart board. find the probability that it lies closer to center than the to the edge?

Answer 1

Answer:

1/4

Step-by-step explanation:

A dart is thrown randomly and hits dart board. find the probability that it lies closer to center than the to the edge?

Let say radius of Dart Board  = 2X

then point Which is Equidistant from center & Edge will lie on a circle

of Radius 2X/2 = X

All the Point which lies inside that Circle will be closer to Center than to the edge

Area of Circle = πX²

Area  Of Dart Board = π(2X)² = 4πX²

probability that it lies closer to center than the to the edge =  πX²/4πX²

= 1/4