Question

The area of a circle is 36π cm². What is the radius of this circle?

Answer 1

Since radius can't be negative, we discard the negative value and conclude that the radius of the circle is 6 cm.

Explanation:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

We are given that the area of the circle is 36π cm². Substituting this value into the formula, we get:

36π = πr^2

Dividing both sides by π, we get:

36 = r^2

Taking the square root of both sides, we get:

r = ±6

Since radius can't be negative, we discard the negative value and conclude that the radius of the circle is 6 cm.

Answer 2

A = πr^2

36π = πr^2

Dividing both sides by π, we get:

36 = r^2

Taking the square root of both sides, we get:

r = 6

Therefore, the radius of the circle is 6 cm.