Question

A circular lawn surrounding a circular piece of land is uniformly 7m wide and its inner edge is 484.Calculate radius of inner circle and area of lawn

Answer 1

let inner radius be r cm.

2*pi*r=484

pi*r=242

r=77 cm

area of lawn = pi* (84^2-77^2)

=pi× (84+77)(84-77)

=pi×161×7

=22/7×161×7

=22×161

=3542 cm^2

Answer 2

Radius of inner circle and area of lawn are 77 m and $55902 m^2$ respectively.

Step-by-step explanation:

We are given that A circular lawn surrounding a circular piece of land is uniformly 7 m wide and its inner edge is 484 m

Circumference of circle = $2 \pi r$

So,  $2 \pi r=484$

$2 \times \frac{22}{7} \times  r=484$

$r=484 \times \frac{7}{2 \times 22}$

$r=77$

Width of lawn = 7 m

Outer radius R = 77+7 = 154 m

Area of lawn = Outer area - inner area =$\pi R^2 - \pi r^2 =\frac{22}{7}((154)^2-77^2)=55902 m^2$

Hence  radius of inner circle and area of lawn are 77 m and $55902 m^2$ respectively.

#Learn more :

A circular lawn is uniformly 7 meter wide and its inner edge is 440maters . calculate the radius of the inner circle and the area of the lawn?

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