Question

the x - axis of each graph has the diameter of a circle in meters. label the y - axis on each graph with the appropriate measurement of a circle: radius (m), circumference (m), or area (m²).

priya drew a circle with a circumference of 25 cm. clare drew a circle with a diameter that is 3 times the diameter of priyas circle.

what is the circumference of clares circle?

Explanation:

Step1: Find the diameter of Priya's circle

The formula for the circumference of a circle is \(C = \pi d\), where \(C\) is the circumference and \(d\) is the diameter. Given \(C = 25\) cm, we can solve for \(d\): \(d=\frac{C}{\pi}=\frac{25}{\pi}\) cm.

Step2: Find the diameter of Clare's circle

Clare's circle has a diameter that is 3 times Priya's diameter. So \(d_{Clare}=3\times\frac{25}{\pi}=\frac{75}{\pi}\) cm.

Step3: Find the circumference of Clare's circle

Using the formula \(C = \pi d\) again, with \(d = \frac{75}{\pi}\) cm, we get \(C=\pi\times\frac{75}{\pi}=75\) cm.

Answer:

The circumference of Clare's circle is \(75\) cm.