Question

The width of a circular track is 2 meters. If the radius of the outer circle is 6 meters, find the area of the track.​

Answer 1

Answer:

Area of the track is 100.48m²

Step-by-step explanation:

Question says that,

A circle is surrounded by a track of width 2metres.The radius of the outer circle is 6metres.

Find the area of the track.

We know that,

Area of the track :

→ Area of outer circle - Area of inner circle.

Step 1 : Find the area of inner circle

Area of a circle : πr²

Here, the radius of the inner circle will be

→ 6m - 4m = 2m [follow the figure]

So, the area is

→ π • 2²

→ 4π

Step 2 : Find the area of outer circle

Where, the radius is 6m (given)

So, the area is

→ π • 6²

→ 36π

Step 3 : Find the area of the track

Area of the track :

→ 36π - 4π

→ 32π

• Taking ‘π’ as 3.14

→ 32 • 3.14

→ 100.48m²

Answer 2

Answer :-

• Area of the track is 100.48m²

Question says that,

• A circle is a sorrounded by a track of width 2 metres. The radius of the outer circle is 6 metres.

Find the area of the track,

★ We know that ★

Area of the track :

→ Area of outer circle - Area of inner circle.

${\bf\underline{Step~1}}$ : Find the area of the inner circle.

Area of a circle = πr²

Here,

• The radius of the inner circle will be

→ 6m - 4m = 2m ${\sf{[Follow~the~figure]}}$

So,

The area is

→ π • 2²

→ 4π

${\bf\underline{Step~2}}$ : Find the area of the outer circle.

Where,

• The radius is 6m ${\sf{(given)}}$

So,

The area is

→ π • 6²

→ 36π

${\bf\underline{Step~3}}$ : Find the area of the track.

Area of the track :

→ 36π - 4π

→ 32π

• Tracking 'π' as 3.14

→ 36 • 3.14

→ 100.48m² $\large\green{\bf{✓}}$