Question

A circular path has to be constructed around a circular lawn.If the outer and inner circumferences of the path are 88cm and 44cm respectively, find the width and area of the path​

Answer 1

Answer:

Outer Circumference=2πR=88

R =88/2π =88x7/2x22 = 14cm

Inner Circumference= 2πr=44

r = 44/2π = 44x7/2x22=7 cm

width=I4-7=7cm

Area of the path=π(R+ r)(R-r)

22/7(14+7) (14-7)

22/7 x21x7=462cm2

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Answer 2

The width is 7 cm.

The area of the path is 462 cm².

Step-by-step explanation:

Given : A circular path has to be constructed around a circular lawn.If the outer and inner circumferences of the path are 88cm and 44cm respectively.

To find : The width and area of the path​ ?

Solution :

Outer Circumference is $C=2\pi R$

$88=2\times \frac{22}{7} R$

$R=\frac{88\times 7}{2\times 22}$

$R=14$

Inner Circumference is $c=2\pi r$

$44=2\times \frac{22}{7} r$

$r=\frac{44\times 7}{2\times 22}$

$r=7$

The width is given by $W=R-r$

$W=14-7=7$

The width is 7 cm.

$\text{Area of the path}=\pi (R^2- r^2)$

$\text{Area of the path}=\frac{22}{7}(14^2- 7^2)$

$\text{Area of the path}=\frac{22}{7}(196-49)$

$\text{Area of the path}=\frac{22}{7}(147)$

$\text{Area of the path}=462$

Therefore, the area of the path is 462 cm².

#Learn more

A circular path has to be constructed around a circular lawn. if the outer and inner circumferences of the path are 88 cm and 44 cm respectively, find the width and area of the path.​

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