Question

nd
14. A road which is 7 m wide surrounds a circular park
whose circumference is 352 m. Find the surface area
of the road.
(ICSE)
i
is​

Answer 1

Answer:

Perimeter and Area

Perimeter and Area of a Circle

A road which is 7 m wide su...

MATHS

A road which is 7 m wide surrounds a circular park whose circumference is 352 m. Find the area of the road.

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ANSWER

⇒ Circumference of circular park =352

∴ 2πr=352

⇒ 2×

7

22

×r=325

⇒ r=

2×22

352×7

=56m

∴ Radius of circular park =56m

⇒ Area of circular park =πr

2

⇒ Area of circular park =

7

22

×56×56=9856m

2

⇒ Width of road =7m [given]

∴ Area of circular park with road =π(Radius+width)

2

⇒ Area of circular park with road =

7

22

×(56+7)

2

m

2

⇒ Area of circular park with road =

7

22

×63×63=12474m

2

⇒ Area of road = Area of circular park with road - Area of circula park

⇒ Area of road =12474m

2

−9856m

2

=2618m

2

solution