If I make a circle on a rectangular floor of dimensions 20m by 15m by means of a rope of length 3.5m, one of its end is fixed at the centre of the room. Find the area which is lying outside the circle.
Answers
The area of the rectangular floor which is lying outside the circle is 261.5 m² .
Step-by-step explanation:
The dimension of the rectangular floor of a room:
Length, l = 20 m
Breadth, b = 15 m
∴ Area of the rectangular floor = l * b = 20 * 15 = 300 m²
It is given that one of the end of a rope of length 3.5 m is fixed at the centre of the room and a circle is made with the help of that rope,
So, the radius of the circle, r = 3.5 m
∴ The area of the circular portion = πr² = = 38.5 m²
Thus,
The area of the rectangular floor which is lying outside the circle is given by,
= [Area of the rectangular floor] - [area of the circular portion]
= 300 - 38.5
= 261.5 m²
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