Question

7. A circular plot is of radius 105 m. If a path of uniform width all round its inside border with an area of 4466 sq.m
is constructed, then the width of the path is
(a) 6 m
(b) 7 m
(C) 8 m​

Answer 1

The width of the path is 7 m

Step-by-step explanation:

Outer radius of circular plot R = 105 m

let the inner radius be r

We are given that a path of uniform width all round its inside border with an area of 4466 sq.m

Area of Outer circular Plot =$\pi R^2 = \frac{22}{7}(105)^2=34650 m^2$

Area of inner circular Plot =$\pi r^2$

Area of path = Outer area - Inner Area

$4466  = 34650-\pi r^2$

$4466  = 34650-\frac{22}{7}r^2$

$\frac{22}{7}r^2  = 34650-4466$

$\frac{22}{7}r^2  =30184$

$r^2  =30184 \times \frac{7}{22}$

$r=\sqrt{30184 \times \frac{7}{22}}$

$r=98$

So, width of path = Outer radius - Inner radius = 105 m - 98 m = 7 m

Hence the width of the path is 7 m

#Learn more:

A circular field of radius 105 m has a circular path of uniform width of 5m along and inside its boundary . find the area of the path please answer 62 points question

https://brainly.in/question/1467137