Ex 14.1, 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?
Let us draw a circle of radius 5 cm
We follow these steps
1. Mark point O as center
2. Let us make a circle of radius 5 cm,
we measure 5 cm using ruler and compass
3. Now keeping compass opened the same length.
We keep pointed end at the center,
and draw a circle using the pencil end of the compass.
So, this is the circle with center O
and radius OP = 5 cm
Now, our question is
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?
Let us draw two diameters AB & CD
Joining ends of diameter
On measuring,
AD = BC = 4.3 cm
AC = BD = 2.5 cm
& ∠ A = ∠ B = ∠ C = ∠ D = 90°
So, ABCD is a rectangle
Taking diameters perpendicular to each other
Let us draw two perpendicular diameters AB & CD
Joining ends of diameter
On measuring,
AD = BC = AC = BD = 3.53 cm
& ∠ A = ∠ B = ∠ C = ∠ D = 90°
So, all sides are equal
and all angles are 90°
∴ ABCD is a square

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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