Find the circumference of a circle with a radius of 5 meters. Leave your answer in terms of π.(1 point)

Responses

5π meters
5π meters

10π meters
10π meters

25π meters
25π meters

31.4 meters
31.4 meters
Question 2
Find the circumference of a circle with a diameter of 15.4 inches. Round your answer to the tenths place.(1 point)
Responses

48.4 inches
48.4 inches

745.1 inches
745.1 inches

186.3 inches
186.3 inches

24.2 inches
24.2 inches
Question 3
Find the area of a circle with a radius of 14 feet. Leave your answer in terms of π.(1 point)
Responses

196π ft²
196π ft²

100π ft²
100π ft²

144π ft²
144π ft²

121π ft²
121π ft²
Question 4
Find the area of a circle with a diameter of 10.6 yards. Round your answer to the tenths place.(1 point)
Responses

116.8 yards²
116.8 yards²

95 yards²
95 yards²

88.2 yards²
88.2 yards²

102 yards²

1 answer

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:

  1. \( 10\pi \) meters
  2. \( 48.4 \) inches
  3. \( 196\pi \) ft²
  4. \( 88.2 \) yards²