Question

Find the area of a circle with diameter 12 cm

Answer 1

Answer:

113.143 cm²

Step-by-step explanation:

Radius=diameter/2=12/2=6 cm

Now

Area of a circle=πr²

=(3.16)(6)²

=(3.16)(36)

=113.143 cm²

Answer 2

Answer: 113.04 cm²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle which is shown below.

$A = \pi r^{2}$

Notice that here, we're given the diameter instead of the radius. Remember that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 12 cm or 6 cm.

So plugging into the formula, we have $(\pi)(6 cm)^{2}$.

A common mistake is to plug 12 cm into the formula but remember that we must plug in the radius and not the diameter.

Multiplying. (6 cm)² is equal to 6 cm · 6 cm or 36 cm².

So we have 36π cm².

So the area of the circle is 36π cm³.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.

So we have (36) (3.14) which is equal to 113.04 cm².

So the area of the circle is approximately equal to 113.04 cm².