```markdown### Mathematics - Geometry#### Find the Perimeter and the Area of the Figure**Instructions**:Calculate the perimeter and the area of the given figure. Provide your answers in terms of π (pi) and to the nearest tenth where applicable.**Figure 7 Description**:- A half-circle (semicircle) with a radius of 12 miles.#### Table for Calculation| | Perimeter | Area ||---|-----------|------|| 7 | | |**Steps for Calculation**:1. **Perimeter of the Semicircle**: - The perimeter of a semicircle includes the curved part plus the diameter. - The formula for the perimeter of a semicircle is: \[ P = \pi r + 2r \] where $ r $ is the radius. - Given: $ r = 12 $ miles.2. **Area of the Semicircle**: - The formula for the area of a semicircle is: \[ A = \frac{1}{2} \pi r^2 \] where $ r $ is the radius. - Given: $ r = 12 $ miles.#### Example Calculation:- Using the provided radius, apply the aforementioned formulas to find the perimeter and area.---This exercise aims to help students practice calculating the perimeter and area of a semicircle, reinforcing their understanding of geometry formulas.```This text and table are designed to aid students in calculating the perimeter and area of a semicircle, explaining the steps and providing the necessary formulas. ### Geometry ProblemsThe top of a glass coffee table is a circle. The circumference is 15.7 feet.**Problem 8:**What is the radius of the table?**Problem 9:**What is the area of the table?**Problem 10:**The 1893 World’s Fair in Chicago boasted the first ever Ferris wheel with a diameter of 250 feet. How far did a person travel in one revolution of the wheel?**Problem 11:**The circumference of a circular pool is about 28 feet. What is the approximate diameter of the pool?

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Find the perimeter and the area of the figure. 2 answer pie nearest tenth Perimeter Area 7) 12 mi

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter62: Volumes Of Prisms And Cylinders

Section: Chapter Questions

Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...

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Question

```markdown
### Mathematics - Geometry

#### Find the Perimeter and the Area of the Figure

**Instructions**:
Calculate the perimeter and the area of the given figure. Provide your answers in terms of π (pi) and to the nearest tenth where applicable.

**Figure 7 Description**:
- A half-circle (semicircle) with a radius of 12 miles.

#### Table for Calculation

| | Perimeter | Area |
|---|-----------|------|
| 7 | | |

**Steps for Calculation**:
1. **Perimeter of the Semicircle**:
- The perimeter of a semicircle includes the curved part plus the diameter.
- The formula for the perimeter of a semicircle is:
\[ P = \pi r + 2r \]
where $ r $ is the radius.
- Given: $ r = 12 $ miles.

2. **Area of the Semicircle**:
- The formula for the area of a semicircle is:
\[ A = \frac{1}{2} \pi r^2 \]
where $ r $ is the radius.
- Given: $ r = 12 $ miles.

#### Example Calculation:
- Using the provided radius, apply the aforementioned formulas to find the perimeter and area.

---
This exercise aims to help students practice calculating the perimeter and area of a semicircle, reinforcing their understanding of geometry formulas.
```

This text and table are designed to aid students in calculating the perimeter and area of a semicircle, explaining the steps and providing the necessary formulas.

### Geometry Problems

The top of a glass coffee table is a circle. The circumference is 15.7 feet.

**Problem 8:**
What is the radius of the table?

**Problem 9:**
What is the area of the table?

**Problem 10:**
The 1893 World’s Fair in Chicago boasted the first ever Ferris wheel with a diameter of 250 feet. How far did a person travel in one revolution of the wheel?

**Problem 11:**
The circumference of a circular pool is about 28 feet. What is the approximate diameter of the pool?

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