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Question

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


Solution

Circumference of circular park$$=352m$$

$$2\pi r=352$$

$$2\times \cfrac { 22 }{ 7 } \times r=352$$

$$r=\cfrac { 32\times 7 }{ 4 } =8\times 7=56m$$

$${ r }_{ 2 }=56+7=63m,{ r }_{ 1 }=56m$$

Area$$=\pi { r }_{ 2 }^{ 2 }-\pi { r }_{ 1 }^{ 2 }$$

$$=\pi \left( { 63 }^{ 2 }-{ 56 }^{ 2 } \right) $$

$$=2616.947 \, m^2$$

1236279_1525665_ans_2f1bc58f45eb4691805afc129bbc5393.png

Mathematics

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