Calculate the Area of a Semicircle with Radius 14 Units

Look at the diagram carefully! In this problem, the 14 is labeled as the radius from the center to the edge of the semicircle. If it were the diameter, it would span the full width across the semicircle.

A semicircle is literally half of a circle! Since the full circle area is $\pi r^2$, a semicircle must be $\frac{1}{2}\pi r^2$.

For geometry problems, it's usually better to leave π in your answer (like 98π) unless the problem specifically asks for a decimal approximation.

You might have mistakenly thought 14 was the diameter! If diameter = 14, then radius = 7, giving $\frac{1}{2}\pi \times 7^2 = 24.5\pi$. But here, 14 is the radius.

Calculate the full circle area first: $\pi \times 14^2 = 196\pi$. Then divide by 2: $\frac{196\pi}{2} = 98\pi$. This confirms your semicircle area!