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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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```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.
Transcribed Image Text:```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?
Transcribed Image Text:### 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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