Question

When the radius of a circle is doubled its area ______.

Options

• remains same

• doubles

• triples

• 4 times the original area

Answer 1

When the radius of a circle is doubled its area 4 times the original area.

Explanation:

The area of a circle is given by the formula πr², where (r) is the radius.

If the radius is doubled, the new radius becomes (2r).

The new area will be:

π(2r)²

= π × 4r²

= 4 × (πr²)

So, the area becomes 4 times the original area when the radius is doubled.

Thus, the area becomes 4 times the original area.