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NCERT Solutions Class 6 Maths Chapter-14 Practical Geometry Exercise 14.1 Q.1 Draw a circle of radius 3.2 cm. Solution: We will be using the concept of circle and radius to solve this. Steps to draw the required circle with a radius of 3.2 cm are as follows. Step 1: Measure and open the compass of the given length. Step 2: Mark a center 'O' as the center. As we know, the distance between the center and any point on the circle is always equal, called the circle's radius. Step 3: Put the compass needle at point 'O'. Step 4: Make a complete round by holding the top of the compass. Q.2 With the same centre O, Draw two circles of radius 4 cm and 2.5 cm. Solution: We will be using the concept of circle and radius to solve this. To draw two circles with the same center 'O', follow the steps given below. Step 1: Measure and open the compass of 4 cm as given in the question. Step 2: Mark a point 'O' as the center. Step 3: Keep the needle on the center point and make a full round. The required figure is the circle with radii 4 cm. Step 4: Again, measure and open the compass of 2.5 cm as given the second radii. Step 5: To make a full circle by keeping the needle on the center of the circle 'O'. Q.3 Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer? Solution: We will be using the concept of circle, square, and rectangle to solve this. Let the center of the circle be O. Let the diameters of the circle AC and BD are bisecting each other. Then the figure obtained after joining the ends of the diameters is a four-sided closed figure. ⇒ OA = OB = OC = OD= radius of the circle is always same. A quadrilateral with both the diagonals of the same length and bisecting each other is a rectangle. Let the diameters that bisect each other be PR and QS are perpendicular to each other. The obtained figure is a square with perpendicular diagonals. Q.4 Draw any circle and mark points A, B and C such that (a) A is on the circle. (b) B is in the interior of the circle. (c) C is in the exterior of the circle. Solution: We will be using the concept of circle to solve this. Steps to draw a circle with interior and exterior points of the circle are as follows:
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