120k views
2 votes
CCSS Reason Inductively The distance around a circle is also

called the circumference. The diameter of a circle is the distance
across the circle through its center.
a. The table shows the circumference and diameter for different
circles. Complete the table by estimating the ratio for each circle.
b. The ratio is represented by the Greek letter, which is called
pi. Describe the ratio for the values you calculated.
Circu
c. Make a Prediction Find two circular objects. Measure the diameter an
then make a prediction about the circumference of each circle. How cou
you check your predictions?

1 Answer

3 votes

The ratio C/d for each circle can be calculated by dividing the circumference (C) by the diameter (d). The ratio C/d is represented by the Greek letter π (pi), which is approximately equal to 3.14.To make a prediction about the circumference of a circle, you can measure the diameter and then multiply it by the ratio C/d (approximately 3.14).

The ratio C/d for each circle can be calculated by dividing the circumference (C) by the diameter (d). Let's calculate the ratios for the given circles:

For the first circle, C/d = 6.28/2 = 3.14.

For the second circle, C/d = 15.70/5 = 3.14.

For the third circle, C/d = 28.26/9 = 3.14.

For the fourth circle, C/d = 37.68/12 = 3.14.

The ratio C/d is represented by the Greek letter π (pi), which is approximately equal to 3.14. This means that for any circle, regardless of its size, the ratio of its circumference to its diameter will always be approximately 3.14.

To make a prediction about the circumference of each circle, you can measure the diameter of the circle and then multiply it by the ratio C/d, which is approximately 3.14. You can check your predictions by measuring the actual circumference of the circles using a flexible measuring tape or string and comparing it to your predicted values.

The probable question may be:

The distance around a circle is also called the circumference. The diameter of a circle is the distance across the circle through its center.

a. The table shows the circumference and diameter for different circles. Complete the table by estimating the ratio C/d for each circle.

b. The ratio C/D is represented by the Greek letter, which is called pi. Describe the ratio C/D for the values you calculated.

c. Make a Prediction Find two circular objects. Measure the diameter an

then make a prediction about the circumference of each circle. How cou

you check your predictions?

Circumference (C) Diameter (D) Ratio (C/D)

6.28 2

15.70 5

28.26 9

37.68 12

User Bethania
by
9.0k points