Question
The circumference of the circular table on Colton’s porch is 43.96 inches. What is the exact area of the table in terms of straight pi?
7 straight pi space inches squared
49 straight pi space inches squared
153.86 straight pi space inches squared
196 straight pi space inches squared
7 straight pi space inches squared
49 straight pi space inches squared
153.86 straight pi space inches squared
196 straight pi space inches squared
Answers
GPT 3.5
The formula for the circumference of a circle is 2πr, where r is the radius of the circle. In this case, the circumference is 43.96 inches, so we have:
2πr = 43.96
r = 43.96 / (2π)
r = 43.96 / 6.2832
r ≈ 6.992 inches (approximately)
The formula for the area of a circle is πr^2, so the area of the table is:
π(6.992)^2 ≈ 153.86 square inches
Therefore, the exact area of the table in terms of π is 153.86π square inches. So the answer is:
153.86 straight pi space inches squared
2πr = 43.96
r = 43.96 / (2π)
r = 43.96 / 6.2832
r ≈ 6.992 inches (approximately)
The formula for the area of a circle is πr^2, so the area of the table is:
π(6.992)^2 ≈ 153.86 square inches
Therefore, the exact area of the table in terms of π is 153.86π square inches. So the answer is:
153.86 straight pi space inches squared