Math, asked by anandhamaruthu956, 5 months ago

Circumference of circle:

Let us investigate the relation between the circumference and the diameter of a

circle

Take any three circular objects like bangles, 5- Rupees coin, etc.

Step 1. Using a ruler measure the diameter of each circular object. Record the

measures in a table as shown below.

Object Diameter (in cm) Circumference (in cm)

Step 2. Make a small mark or a point at the edge of the circular object. Keep a

measuring tape on a flat surface. Place the mark at the beginning of

the tape. Roll the object along the tape for one rotation, until you

reach the mark again.

Step 3. Record the length in the table. This is the circumference.

Step 4. Find the ratio of circumference of the circular object to its diameter.

i.e.

Step 5. Repeat the activity for the remaining two objects and write your

observation.

Answers

Answered by srinandu2004

Answer:

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.

Circumference of a Circle Formula

The Circumference (or) perimeter of a circle = 2πR

where,

R is the radius of the circle

π is the mathematical constant with an approximate (up to two decimal points) value of 3.14

Again,

Pi (π) is a special mathematical constant; it is the ratio of circumference to diameter of any circle.

where C = π D

C is the circumference of the circle

D is the diameter of the circle

For example: If the radius of the circle is 4cm then find its circumference.

Given: Radius = 4cm