Question

Below is the justification for the formula for area of a circle. Which word, when placed in the blank best completes this argument?

Answer 1

Answer:

The correct answer is option A.  r

Step-by-step explanation:

From the figure we can see a circle and a parallelogram.

The circle is divided into a small sectors and these sector then arranged into a parallelogram.

The base of the parallelogram is half the circumference.

The height of parallelogram is equal to the radius of the given circle. Here radius is 'r'.

Therefore the correct answer is option A.   r

Answer 2

We will see that the height of the parallelogram is equal to r, so the correct option is A.

How to complete the argument?

We know that the base of the figure is equal to:

π*r

And the height is equal to something, let's define it by H, such that when we take the product between the height and the base we get:

H*(π*r) = π*r^2

Solving for H, we get:

H = r

So the height is equal to the radius.

Then we should write "r" on the blank, meaning that the correct option is A.

If you want to learn more about circles, you can read:

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