Question

The radius of one circular field is 7 m and that of another is 25 m. Find the radius of the
circular field whose area is equal to the difference of the areas of the first and second field.
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Answer 1

Answer:

Radius of the third circle will be 24 metres.

Step-by-step explanation:

Step 1 : Find the area of first circle :

Here, radius will be 7metres. (given)

Area of a circle is given by : πr²

• ‘r’ is the radius

So,

→ π × 7²

→ π*49

→ 49π

Step 2 : Find the area of the second circle :

Radius will be taken as 25metres. (given)

Area of the circle : πr²

→ π × 25²

→ 625π

Step 3 : Find the radius of the third circle :

Given :

Area of the third circle :

Area of the second circle - Area of the first circle

So,

Area of the third circle = 625π - 49π

→ πr² = 576π

→ r² = 576

→ r = √576

→ r = 24metres.

Radius of the third circle will be 24 metres.

Answer 2

Radius of third circle id 24 meter