Question

Find the area of the semicircle.

Either enter an exact answer in terms of or use 3.14 for
and enter your answer as a decimal.
units

Answer 1

So we know that the area of a full circle is pi multiplied by radius squared
But for a semicircle the area is pi multiplied by radius squared divided by two
So, we do 3.14*3^2/2
Which is 14.13

Answer 2

14.13

Explanation:

The formula for area of a circle is πr^2.

This is a semicircle which is half a circle, so the formula for area of a semicircle is (πr^2)/2

The diameter of the circle is 6, which means that the radius is 3. Since the radius of a circle is always half the diameter. (1/2*6=3)

This means we can plug the known values into our formula.

π(3)^2/2

Simplify.

9π/2

Now we plug 3.14 in for π.

9(3.14)/2

28.26/2

14.13