Here are the answers to each question based on the given data:
Question 1: Find the circumference of a circle with a radius of 5 meters. Leave your answer in terms of π.
Circumference formula: \( C = 2\pi r \)
For a radius \( r = 5 \) meters:
\[ C = 2\pi(5) = 10\pi \text{ meters} \]
Answer: 10π meters
Question 2: Find the circumference of a circle with a diameter of 15.4 inches. Round your answer to the tenths place.
Circumference formula: \( C = \pi d \)
For a diameter \( d = 15.4 \) inches:
\[ C = \pi(15.4) \approx 48.4 \text{ inches} \] (using \( \pi \approx 3.14 \))
Answer: 48.4 inches
Question 3: Find the area of a circle with a radius of 14 feet. Leave your answer in terms of π.
Area formula: \( A = \pi r^2 \)
For a radius \( r = 14 \) feet:
\[ A = \pi(14^2) = \pi(196) = 196\pi \text{ ft}^2 \]
Answer: 196π ft²
Question 4: Find the area of a circle with a diameter of 10.6 yards. Round your answer to the tenths place.
First, find the radius: \( r = \frac{d}{2} = \frac{10.6}{2} = 5.3 \) yards.
Area formula: \( A = \pi r^2 \)
\[ A = \pi(5.3^2) = \pi(28.09) \approx 88.2 \text{ yards}^2 \] (using \( \pi \approx 3.14 \))
Answer: 88.2 yards²
To summarize the answers:
- \( 10\pi \) meters
- \( 48.4 \) inches
- \( 196\pi \) ft²
- \( 88.2 \) yards²