Question

If the circumference of the circle is increases from 2π to 4π then it's area is. what halved, doubled ,tripled, four times ​

Answer 1

Answer:

four times

Step-by-step explanation:

Circumference of a circle is given by =2π×radius=2πr

If r=1, then circumference =2π units

So, area =πr

2

=π(1)

2

=π Units

New radius after increasing circumference:

2πr=4π

⇒r=2

New area =πr

2

=π(2)

2

=4π=4×older area

Hence, area becomes four times after increasing the circumference from 2π to 4π.

Answer 2

Solution :-

we know that,

• Circumference of the circle = 2πr
• Area of circle = πr²
• r = Radius of circle .

So,

→ Initial circumference of the circle = 2π

then,

→ 2πr = 2π

→ r = 1 unit

then,

→ Initial area of the circle = πr² = π(1)² = π unit²

Now,

→ New circumference of the circle = 4π

So,

→ 2πr = 4π

→ r = 2 unit

then,

→ New area of the circle = πr² = π(2)² = 4π unit²

therefore,

→ New year / Initial area = 4π / π = 4 .

Hence, New area of circle becomes four times .

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