Geometry Academic (Part B) PVA (Buzz) (SP24) / Circles
3. What are the radius and circumference of a circle with a diameter of 12 meters? Round answers to the nearest whole number.
Radius 24 m, circumference = 75 m
Radius 24 m, circumference = 151 m
Radius 12 m, circumference = 75 m
Radius 6 m, circumference = 38 m



Answer :

Let's solve this step by step. First, we need to find the *radius* of the circle, which is half the diameter. Since the diameter is given as 12 meters, to find the radius, we divide this by 2. So: Radius = Diameter / 2 Radius = 12 meters / 2 Radius = 6 meters Now, we will calculate the *circumference*, which is the distance around the circle. The formula to calculate the circumference of a circle is: Circumference = π * Diameter Here, π (Pi) is a constant with a value approximately equal to 3.14159. We will use this value for π to calculate the circumference. Given the diameter is 12 meters, we plug this value into the formula: Circumference = π * 12 meters Circumference ≈ 3.14159 * 12 meters Circumference ≈ 37.69908 meters Lastly, we will round the radius and the circumference to the nearest whole number: - The radius is already a whole number, so it remains 6 meters. - The circumference, when rounded to the nearest whole number, is approximately 38 meters. The correct choices based on our calculations are: Radius = 6 meters Circumference = 38 meters Thus, the closest options that match our rounded answers are: Radius 6 m, circumference = 38 m