Question

A circular road of uniform width 7m runs outside a circular plot of land having diameter 98m. Calculate the area of road

Answer 1

Answer:

Step-by-step explanation:

First we will find the area of whole circle including road and plot with radius=105/2=52.5m

Therefore,area=πr^2=8662.5m^2(external area)

Now,we will find the area of plot and subtract it from external area to get the area of road..

R=49m

Area=πr^2=7546m^2

Area of road =8662.5-7546=1116.5m^2

Therefore,area of road=1116.5m^2

Answer 2

✏Answer : 2310 m²

Step - by - step expalanation :

✏Given :

Diameter of inner circle D => 98 m

Radius of inner circle R => d/2 => 49 m

Width => 7 m

✏Radius of Outer circle R => 49 + 7

=> 56 m

✏Area of the road => πR² - πr²

=> π (R² - r² )

=> [22 / 7] [56² - 49²]

=> 22 / 7 ( 735 )

=> 16170 / 7

=> 2310 m²

✏Therefore ; the area of the road => 2310m²

Hope it helps you dear.......

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