Question

What is the probability that a randomly thrown dart that hits the square board in shaded region
(Take $\pi =\frac{22}{7}$ and express in percentage)

Answer 1

Given the radius of circle$=2cm$

Then one side of square$=2+2=4cm$

Area of circle =$\pi r^2=\frac{22}{7}\times (2{)}^2=\frac{22}{7}\times 4=12.57c{m}^2$

Area of square =$(a{)}^2=(4{)}^2=16c{m}^2$

Then the area of shaded region=$16-12.57=3.43c{m}^2$

Then % probability of hits in shaded region =$\frac{3.43}{16}\times 100=21.44$%