Question

Draw a circle with diameter $6cm$ and measure the length of the radius of the circle drawn.

Answer 1

Construction of a circle

Step 1: Draw a diameter of length $6cm$.

Step 2: Mark the centre of the diameter as $C$.

We know that the centre of the circle lies in its diameter and the centre divides the diameter into two equal parts.

Step 3: With $C$ as centre and radius $CA$, draw a circle with the help of a compass such that it passes through points $A,B$.

The figure thus formed is the required circle with diameter $6cm$.

Step 4: Finding the radius of the circle

The radius of the circle is half of its diameter.

We have the diameter as $6cm$.

The centre divides the diameter into two equal parts that are known as the radii of the circle.

Therefore, Radius$=\frac{1}{2}x6=3cm$.

$\Rightarrow CA=CB=3cm$.

Hence, the radius of the given circle is $3cm$.