Homework Help is Here – Start Your Trial Now!
Math
Geometry
terms of 7. 9. 1.7 ft 10. See Problem in. WIN

terms of 7. 9. 1.7 ft 10. See Problem in. WIN

Elementary Geometry For College Students, 7e
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
Problem 1CT
See similar textbooks
icon
Related questions
Question

find the area in terms of pi and answer both questions separately they're two parts in one question. 

### Finding the Area of a Circle To calculate the area of a circle, use the following formula: \[ \text{Area} = \pi r^2 \] Where: - \( \pi \) is a constant (approximately 3.14159) - \( r \) is the radius of the circle ### Example Problems #### Problem 9: A circle with a diameter labeled as **1.7 feet**. **Solution:** 1. First, find the radius. The radius \( r \) is half of the diameter. \[ r = \frac{1.7 \text{ ft}}{2} = 0.85 \text{ ft} \] 2. Then use the formula to find the area. \[ \text{Area} = \pi (0.85 \text{ ft})^2 \] \[ \text{Area} = \pi (0.7225) \text{ ft}^2 \] \[ \text{Area} \approx 2.27 \pi \text{ ft}^2 \] #### Problem 10: A circle with a diameter labeled as \( \frac{2}{3} \) inches. **Solution:** 1. First, find the radius. The radius \( r \) is half of the diameter. \[ r = \frac{\frac{2}{3} \text{ in}}{2} = \frac{1}{3} \text{ in} \] 2. Then use the formula to find the area. \[ \text{Area} = \pi \left( \frac{1}{3} \text{ in} \right)^2 \] \[ \text{Area} = \pi \left( \frac{1}{9} \right) \text{ in}^2 \] \[ \text{Area} = \frac{\pi}{9} \text{ in}^2 \] ### Diagrams Explanation **Diagram 9:** - A circle with a diameter measuring 1.7 feet is shown. This requires computing the radius as half of the diameter to then find the area using the area formula. **Diagram 10:** - A circle with a diameter measuring \( \frac{2}{3} \) inches is displayed. Similarly, the radius is determined by halving the diameter
Transcribed Image Text:### Finding the Area of a Circle To calculate the area of a circle, use the following formula: \[ \text{Area} = \pi r^2 \] Where: - \( \pi \) is a constant (approximately 3.14159) - \( r \) is the radius of the circle ### Example Problems #### Problem 9: A circle with a diameter labeled as **1.7 feet**. **Solution:** 1. First, find the radius. The radius \( r \) is half of the diameter. \[ r = \frac{1.7 \text{ ft}}{2} = 0.85 \text{ ft} \] 2. Then use the formula to find the area. \[ \text{Area} = \pi (0.85 \text{ ft})^2 \] \[ \text{Area} = \pi (0.7225) \text{ ft}^2 \] \[ \text{Area} \approx 2.27 \pi \text{ ft}^2 \] #### Problem 10: A circle with a diameter labeled as \( \frac{2}{3} \) inches. **Solution:** 1. First, find the radius. The radius \( r \) is half of the diameter. \[ r = \frac{\frac{2}{3} \text{ in}}{2} = \frac{1}{3} \text{ in} \] 2. Then use the formula to find the area. \[ \text{Area} = \pi \left( \frac{1}{3} \text{ in} \right)^2 \] \[ \text{Area} = \pi \left( \frac{1}{9} \right) \text{ in}^2 \] \[ \text{Area} = \frac{\pi}{9} \text{ in}^2 \] ### Diagrams Explanation **Diagram 9:** - A circle with a diameter measuring 1.7 feet is shown. This requires computing the radius as half of the diameter to then find the area using the area formula. **Diagram 10:** - A circle with a diameter measuring \( \frac{2}{3} \) inches is displayed. Similarly, the radius is determined by halving the diameter
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS