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Question

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


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Solution

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=12x6=3cm.

CA=CB=3cm.

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


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