A running circular track of 6 metre wide is constructed around a circu

1.	A running circular track of 6 metre wide is constructed around a circular park of radius 3 metre. Find the area of a track.1. 72π cm2 2. 36 π cm2 3. 54 π cm2 4. 74π cm2
Answer» Correct Answer - Option 1 : 72π cm² Given Radius of circular park = 3 metre Width of track = 6 metre Concept Area of circular track = Area of outer circle – Area of inner circle Formula used Area of circle = πr² Explanation Area of track =πr₁²- πr₂² r₁and r₂represents radius of outer and inner circle Area of track= π(r₁ – r₂) (r₁ + r₂) ⇒ π( 9 – 3) (9 + 3) ⇒ 72π cm²

A running circular track of 6 metre wide is constructed around a circular park of radius 3 metre. Find the area of a track.1. 72π cm2 2. 36 π cm2 3. 54 π cm2 4. 74π cm2

Answer» Correct Answer - Option 1 : 72π cm²

Given

Radius of circular park = 3 metre

Width of track = 6 metre

Concept

Area of circular track = Area of outer circle – Area of inner circle

Formula used

Area of circle = πr²

Explanation

Area of track =πr₁²- πr₂²

r₁and r₂represents radius of outer and inner circle

Area of track= π(r₁ – r₂) (r₁ + r₂)

⇒ π( 9 – 3) (9 + 3)

⇒ 72π cm²

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A running circular track of 6 metre wide is constructed around a circular park of radius 3 metre. Find the area of a track.1. 72π cm2 2. 36 π cm2 3. 54 π cm2 4. 74π cm2

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