Question

Priya drew a circle whose circumference is 25 cm. clare drew a circle whose diameter is 4 times the diameter of priya’s circle. what is the circumference of clare’s circle? do not round your answers!

Answer 1

To find the circumference of Clare's circle, we need to find the diameter of Priya's circle and then multiply it by 4. Finally, we can find the circumference of Clare's circle.

Step-by-step explanation:

To find the circumference of Clare's circle, we first need to find the diameter of Priya's circle. Since the circumference of Priya's circle is 25 cm, we can use the formula C = πd (where C is the circumference and d is the diameter) to solve for the diameter. Rearranging the formula, we have d = C/π. Substitute the value of C as 25 cm, and we get d = 25/π. Next, we need to find the diameter of Clare's circle, which is 4 times the diameter of Priya's circle. Multiply the diameter of Priya's circle by 4 to get the diameter of Clare's circle. Finally, we can find the circumference of Clare's circle by using the formula C = πd, where d is the diameter we found.

Detailed Steps:

1. Find the diameter of Priya's circle: d = 25/π
2. Find the diameter of Clare's circle: diameter of Clare's circle = 4 * diameter of Priya's circle
3. Find the circumference of Clare's circle: C = π * diameter of Clare's circle