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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Circumference of a circle

Grade: 8-a Lesson: S4-L3

Explanation: Let us verify the answer here with the steps.

Description:

Step	Type	Explanation	Answer
1	Problem	The perimeter of a circular coin is 720 meters. Find the circumference of the coin.
2	Hint	Formula used	\$"Circumference" = 2\pi r\$
3	Step	We know that the perimeter of a circle is equal to the circumference of the circle. So, we can use the formula P = 2πr, where P is the perimeter and r is the radius of the circle.
4	Step	Perimeter of the circular coin	720 meters
5	Step	We need to find the radius of the circle. We know that the perimeter is given as 720 meters, which is equal to 2πr. So, we can write	720 = 2πr ⇒ r = \$"720"/"2π"\$
6	Step	Now that we have found the radius of the circle, we can use the formula for circumference, C = 2πr, to find the circumference of the coin	\$"C" = 2\pi \times "720"/"2π"\$ ⇒ \$"C" = 720\$
7	Step	Hence, the circumference of the coin	\$720\$ meters

Step

Type

Explanation

Answer

Problem

The perimeter of a circular coin is 720 meters. Find the circumference of the coin.

Hint

Formula used

\$"Circumference" = 2\pi r\$

Step

We know that the perimeter of a circle is equal to the circumference of the circle. So, we can use the formula P = 2πr, where P is the perimeter and r is the radius of the circle.

Step

Perimeter of the circular coin

720 meters

Step

We need to find the radius of the circle. We know that the perimeter is given as 720 meters, which is equal to 2πr. So, we can write

720 = 2πr

⇒ r = \$"720"/"2π"\$

Step

Now that we have found the radius of the circle, we can use the formula for circumference, C = 2πr, to find the circumference of the coin

\$"C" = 2\pi \times "720"/"2π"\$

⇒ \$"C" = 720\$

Step

Hence, the circumference of the coin

\$720\$ meters