Question & Answer
QUESTION

Draw a circle of 4.5 cm radius & divide the circle into 8 equal parts.

ANSWER Verified Verified
Hint: First of all, construct a circle with the given radius of the circle. Then cut into 8 equal parts by dividing the central angle into 8 equal parts. By drawing all the diameter. we will get the circle into 8 equal parts.

Complete step-by-step answer:
Construct a circle of radius 4.5 cm as show in below figure:

We know that the diameter of the circle is equal to twice the length of radius of the circle.
So the diameter of the circle \[ = 2 \times 4.5 = 9{\text{ cm}}\]
Follow the below steps to divide the circle into equal parts:
Step 1: Draw a horizontal line of length 9 cm on the circle to divide into 2 equal parts as shown in figure 1.
Step 2: Draw a vertical line of length 9 cm on the circle to divide into 4 equal parts as shown in figure 2.
Step 3: Draw a line making an angle of \[{45^0}\] with the horizontal line of length 9 cm on the circle as shown in figure 3.
Step 4: Draw a line making an angle of \[{135^0}\] with the horizontal line of length 9 cm on the circle to divide into 8 equal parts as shown in figure 4.

Hence the circle of radius 4.5 cm is divided into 8 equal parts as shown in figure 4

Note: The diameter of the circle is equal to twice the length of radius of the circle. The area of each part is equal to \[\dfrac{1}{8}\] part of the circle. If you notice here, we have also shown how to divide the circle into 2 equal parts and 4 equal parts of radius 4.5 cm.