https://file.aiquickdraw.com/mathbot/file/1726604818754m2wibgnf.jpg

https://file.aiquickdraw.com/mathbot/file/1726604841639ptepqswg.jpg

To calculate the area of a semicircle with a radius of 8 cm, we follow these steps:

1. **Formula for the area of a full circle**:  
   \[
   A = \pi r^2
   \]
   where \( r \) is the radius of the circle.

2. Since we are dealing with a **semicircle**, the area is half of the full circle:
   \[
   A_{\text{semicircle}} = \frac{1}{2} \pi r^2
   \]

3. **Substitute the given radius** \( r = 8 \, \text{cm} \):
   \[
   A_{\text{semicircle}} = \frac{1}{2} \pi (8^2) = \frac{1}{2} \pi (64) = 32\pi \, \text{cm}^2
   \]

Thus, the area of the semicircle is:
\[
A = 32\pi \, \text{cm}^2
\]

Would you like more details or clarifications?

Here are some related questions to explore further:
1. How do you calculate the circumference of a semicircle?
2. What is the area of a quarter circle with the same radius?
3. How would the area change if the radius were doubled?
4. Can you express the area in decimal form using \( \pi \approx 3.14 \)?
5. How do you calculate the perimeter of the semicircle?

**Tip:** Always remember to halve the area formula for a full circle when dealing with a semicircle.

Work out the area of a semicircle with radius 8 cm. Give your answer in terms of π.

Learn how to calculate the area of a semicircle with a radius of 8 cm. This geometry problem involves using the area formula for circles and dividing by 2 to find the area of the semicircle. The answer is expressed in terms of π.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation