A missing helicopter is reported to have crashed somewhere in the rectangular region as shown in the figure. What is the probability that it crashed inside the lake shown in the figure?

A missing helicopter is reported to have crashed somewhere in the rectangular region as shown in figure. What is the probability that it crashed inside the lake shown in the figure?

Suppose you drop a die at random on the rectangular region shown in figure. What is the probability that it will land inside the circle with diameter 1m?

The shaded region shown in the figure is given by the inequations

What is the magnetic field at the center of the loop shown in figure ?

a.Figure shows a cross-section of a 'light pipe' made of glass fibre of refractive index 1.68 The outer converting of the pipe is made of a material of refractive index 1.44. What is the range of the angles of the incident rays with the axis of the pipe for which total reflections insides the pipe take place as shown in the figure. b.What is the answer if there is no outer converting of the pipe ?

Consider the circle x^(2) + y^(2) = 16 and the straight line y = sqrt3x as shown in the figure. (i)Find the points A and B as shown in the figure. (ii) Find the area of the shaded region in the figure using definite integral.

Some boys are playing a game, in which the stone thrown by them landing in a circular region (give in the figure ) is considered as win and landing other than the circular region is considered as loss. What is the probability to win the game ?