Examples with solutions for Circumference: Calculate The Missing Side based on the formula

Exercise #1

A circle has a circumference of 31.41.

What is its radius?

Video Solution

Step-by-Step Solution

To solve the exercise, first we must remember the circumference formula:

P=2πR P= 2\pi R

P is the circumference and Pi has a value of 3.14 (approximately).

We substitute in the known data:

31.41=23.141R 31.41=2\cdot3.141\cdot R

Keep in mind that the result can be easily simplified using Pi:

31.413.141=2R \frac{31.41}{3.141}=2R

10=2R 10=2R

Finally, we simplify by 2:

5=R 5=R

Answer

5

Exercise #2

A circle has a circumference of 50.25.

What is its radius?

Video Solution

Step-by-Step Solution

We use the formula:

P=2πr P=2\pi r

We insert the known data into the formula:

50.25=3.14×2r 50.25=3.14\times2r

50.25=2×r×3.14 50.25=2\times r\times3.14

50.25=6.28r 50.25=6.28r

50.256.28=6.28r6.28 \frac{50.25}{6.28}=\frac{6.28r}{6.28}

r=8 r=8

Answer

8

Exercise #3

The circumference of a circle is 14.

How long is the circle's radius?

Video Solution

Step-by-Step Solution

We begin by using the formula:

P=2πr P=2\pi r

We then insert the given data into the formula:

14=2×π×r 14=2\times\pi\times r

Lastly we divide Pi by 2:

142π=2πr2π \frac{14}{2\pi}=\frac{2\pi r}{2\pi}

7π=r \frac{7}{\pi}=r

Answer

7π \frac{7}{\pi}

Exercise #4

Calculate the radius using the circumference given in the figure:

C=400C=400C=400

Video Solution

Answer

63.662

Exercise #5

Calculate the radius using the circumference given in the figure:

C=9C=9C=9

Video Solution

Answer

1.432

Exercise #6

Calculate the radius using the circumference given in the figure:

C=80C=80C=80

Video Solution

Answer

12.732

Exercise #7

Calculate the radius using the circumference given in the figure:

Video Solution

Answer

0.009

Exercise #8

Calculate the radius based on the circumference given in the figure:

C=81C=81C=81

Video Solution

Answer

12.891

Exercise #9

Calculate the radius using the circumference given in the figure:

C=35.6C=35.6C=35.6

Video Solution

Answer

5.666

Exercise #10

Calculate the radius using the circumference given in the figure:

C=15.67C=15.67C=15.67

Video Solution

Answer

7.269

Exercise #11

The circumference of a circle is equal to 8.

How long is its radius?

Video Solution

Answer

4π \frac{4}{\pi}

Exercise #12

Given that the circumference of a circle is 20, what is the length of the circle's radius?

Video Solution

Answer

10π \frac{10}{\pi}

Exercise #13

The circumference of a circle is 60.

What is the length of the radius of the circle?

Video Solution

Answer

30π \frac{30}{\pi}

Exercise #14

The circumference of a circle is equal to 6.

What is the length of the radius of the circle?

Video Solution

Answer

3π \frac{3}{\pi}

Exercise #15

If the circumference of a circle is equal to 18, then what is the length of its radius?

Video Solution

Answer

9π \frac{9}{\pi}

Exercise #16

The circumference of a circle is equal to 14. How long is the circle's diameter?

Video Solution

Answer

14π \frac{14}{\pi}

Exercise #17

The circumference of a circle is equal to 16.

What is the length of the circle's radius?

Video Solution

Answer

8π \frac{8}{\pi}

Exercise #18

The circumference of a circle is equal to 100. What is the length of the radius of the circle?

Video Solution

Answer

50π \frac{50}{\pi}

Exercise #19

Look at the circle in the figure.

What is its diameter?

Video Solution

Answer

16 16 cm

Exercise #20

The circumference of a circle is equal to 30. What is the length of its radius?

Video Solution

Answer

15π \frac{15}{\pi}