Final answer:
To calculate the radius of a terrarium with a circumference of 23 1/2 inches, divide the circumference by 2π to get approximately 3.74 inches, and the diameter is twice the radius, giving approximately 7.48 inches.
Step-by-step explanation:
The question asks about determining the radius and diameter of a terrarium based on its circumference. This involves understanding the relationships between the circumference, radius, and diameter of a circle.
Calculating the Radius
To find the radius of the circle from its circumference, which is given as about 23 1/2 inches, we use the formula for the circumference of a circle: C = 2πr, where π (pi) is approximately 3.14159, and r is the radius. By rearranging the formula to solve for r, we get r = C/(2π). Using the given circumference, r ≈ 23.5 inches / (2 × 3.14159) ≈ 3.74 inches.
Calculating the Diameter
Once we have the radius, finding the diameter is straightforward because the diameter of a circle is twice the radius (d = 2r). Therefore, d ≈ 3.74 inches × 2 ≈ 7.48 inches.